Get a rug under the table, and couple of rugs in the kitchen--one in front of the sink, and another in front of the stove. Here's a link to a rug that would look fabulous with your cabinets and floor:
http://www.overstock.com/Home-Garden/Mohawk-Home-Rainbow-Multi-Stripe-Rug-18x210/6543453/product.html?searchidx=4

I have 3 of these rugs in my kitchen and dining room, and absolutely LOVE them as they add so much warmth and charm to the room.

Find some items to put on those end shelves such as a small plant, a couple of books, etc., etc. Use that space to showcase your personality and what you like.

I normally am not one for painted cabinets, but I absolutely LOVE that green, and think it enhances the look of them.

Love the green cabs! As tbwaters mentioned, painting the backs of the built-ins the same green as kitchen cabs would look great. If you don't want to paint them, perhaps adding green items to the shelves would tie the rooms together.

Definitely think you should replace the area rug with one that has a bit of the green in it.

I would remove the sofa table, or get a green one!

I would also like the idea of a new/updated sofa table as indianpatti mentioned! Maybe you could even paint your existing table the color green of your cabinets (if you want to go big) or a crisp white to match the built-ins. You could distress the white version to make it appear that the table used to be the green in your kitchen & was painted white then weathered/distressed to show bits of the green through the white finish. You could get a custom look going!

Love the cabinets too. Also agree about a large rug under the kitchen table. The living room area is very stark..no end tables..no lamps. Every seat needs a place to set a drink..so I suggest a simple glass top coffee table in front of the sofa. Replace the table between the chairs with a larger one with legs (not bulky) and add a tall lamp. The sofa table could be a little smaller, and a different color than the sofa...green, lighter wood color..or trim white to match the far wall units. Re. cabinetry, I also suggest painting the back of the shelf units...possible the dark red in the rug, or the green from the cabinets. Then less and larger items on the shelves. Now the windows..I love the woven woods you have on them, but please add 4 drapery panels in a solid color with a texture..maybe just a little darker than the wall color. Hang one on each far end and on both sides of the triple window. Have them just cover the window frames on the sides.You have a great space and a great start.

Hi! I think you have a lovely area! I agree that I think a more casual rug is needed in the living room, and maybe a small mat in the kitchen. Here are a few suggestions for you:

http://deciture.com/shop/rugs/3/surya-storm-som7739-indoor-outdoor-area-rug-cream/ (comes in larger sizes and ties the green from the kitchen in)

http://deciture.com/shop/rugs/7/orbit-area-rug/ (a bit more structured)

http://deciture.com/shop/rugs/9/falcon-crest-cushioned-floor-mat/

http://deciture.com/shop/rugs/9/twist-weave-cushioned-floor-mat/

In case you are interested, Pier 1 Imports has a super soft cushioned floor mat (called the Cloud Step) that is perfect in front of the kitchen sink. It is a nice large mat offered in several nice colors/patterns that is easy on your feet while you wash dishes. We have one in our kitchen & I couldn't do without it! http://www.pier1.com/on/demandware.store/Sites-pier1_us-Site/default/Search-Show?q=cloud-step

Try a fun oversized coffee table. and yes on the runner

Thank you so much for all the suggestions! It is hard to tell from the photos, but the green in the rug is almost the same green as the cabinets - that color was our inspiration for the cabinets. I love some of the alternate rug suggestions though. I also really like the idea of temporary wallpaper for behind the built-ins. Where could I find something like that?

Here's some removable wallpaper and a pillow to start sprinkling the green around. I would have said your rug's major color was red. I think it gives to formal a feeling now that you've kicked up the cabs a notch.

I would recommend changing out the dining set. Something round and possibly glass to add some sparkle and some bolder chairs. The dining set mimmicks the kitchen style a little too much and dulls its impact. Some upholstered dark, low-back chairs might bring a better transition between the two rooms and soften up the space without having to add troublesome rugs to the kitchen area. I am never fond of "fussy" things in the kitchen. I also agree that the opposite wall in the living room could use some visual weight. White shelving is a bit too stark for a warm space. A cheap way out is to paint out the shelving units in darker neutral such as expresso. Also, paint the brick a lighter shade of tan or brown or whatever could match with the room colour but darker than walls. A nicer look would be to reface the units with new real wood doors and trim.

I love the green cabinets and the rug too. Just add more green accents in the family room. You can cover foam board with fabric or wallpaper to back the shelves. Instead of a coffee table what about a big storage ottoman in green. Maybe a table runner on the sofa table.

I would paint the sofa table green, fill up the shelves with books, small lamp, greenery

I am not a fan of green, but you just made me one! LOVE that in your room!

Bookshelves need books.....1/3 books, 1/3 decor and 1/3 blank space. Vary how you place it all and yes, add green in when you do them.

Table with a lamp between the chairs, round one with round table cloth to the floor

One thing that struck me is that the sofa and the chairs seem to match too much. What about swapping out the chairs with a colorful set, or something with simple but bold pattern?

Flowers, and wallpaper not a lot maybe some frames as well

I adore your green kitchen! I am green with envy! I 2nd painting the back of the built-ins, adding some drapes or fun fabric roman shades.

Dash & Albert has some great striped rugs for your kitchen. Love the cabinets!

The kitchen is gorgeous!!! But the family room looks like you just moved in. The table in between the chairs is out of scale with the chairs. The shape is right, but it needs to be bigger & have a lamp on it. Look into having a floor outlet put in where the sofa & sofa table is, & have lamps on the sofa table as well as some decor such as boxes, vases, etc. You need a large cocktail table or ottoman to break up that sea of rug pattern. I would paint the back of the bookcases green as suggested, but the items put there need more weight. Perhaps baskets on the lowest shelves. Anything small is getting lost on the shelves. And layer the items...put something smaller in front of something bigger (loook at the Ideabook on how to dress bookcases). You might consider replacing the doors on the bookcases for the style of your kitchen...straighter lines without the arch. I don't think your dining table needs a rug, but yes you can add a runner in the kitchen in front of the sink. I would do something simple, no pattern.

http://www.rugsusa.com/rugsusa/rugs/couristan-outdoor-checkered-field/black/11010052000-18037.html

I would say the you really need a coffee-table in the living room something like a trunks style. I got the perfect one for you! Is a brass polished metal

Chrome coffee-table

The leather is what doesn't go with the bright and fun vibe of the kitchen, in my opinion.

A light colored fabric sofa would brighten up the room instantly and tie in the room with the kitchen, especially if you paint the back of the built in as others suggested.

Also, getting a larger area rug for the family room would be good, I think, so that you can see the "area" from the kitchen, rather than just in front of the sofa. It's standoffish the way it is, instead of creating a smooth flow from room to room.

If you have to keep the sofa and chairs, then changing the rug and adding the same or similar color and pattern Berber-esque rug under the dining table and sink + stove area would also give a nice flow. The dark color of the rug plus the dark furniture just makes it a room in a house without that kitchen, so perhaps something light from room to room, and then keep the furniture and add accents to soften and lighten the room. Taller plants like Sansevieria or Ficus lyrata would look nice in the room, as would pastel-colored paintings and a lighter sofa table/console.

I also agree that the dining table should be changed. Round, white and fabric chairs would suit the kitchen nicely, I think. But I think that's secondary to lightening up the family room first.

The window coverings could also be tied into the light green theme with something muted.

Beautiful kitchen remodel! Don't you hate how sometimes you remodel one room and that makes all the other rooms go out of style? ;-)