I hang mine on the oven handle.

Ditto dcward. I also put a handle on the short side of island, which is just a half pivot to access.

I have a handle on the oven and on the dishwasher and use them both randomly but mostly the oven.

Usually fridge handle.

A peg on the inside of the sink door. Sometimes a second one on fridge handle.

Like Mags, have a rod on the short side of island. DH doesn't like the placement so I normally find one on the counter by the sink when I come home.

oven handle

Dishwasher handle.

I have a pull-out rod underneath the sink & I also hang one on the oven handle.

This pic is Lauraed's kitchen (pics are still on GW/Houzz). It is probably not for your modern kitchen but is so cute.

Folded on the shelf grid in my sink. It air dries, but it's out of sight.

Folded over my raised DW.

I hang mine on the range handle. Few threads on this topic you may find useful (mod and traditional kitchens).
Where do you hang your dish towels

Where-to-you-hang-your-dish-towels 2

Where-do-you-keep-your-dish-towels

This is the topic that brought about towel pig envy into the GW world :-)

Towel Pig

I hang dry ones on a couple of my drawer pulls (I have long bar pulls), if it's wet but clean I hang on over my faucet to dry. Dirty ones go on the laundry room right away, it's just a step from the kitchen. Extras are folded and in a drawer that is used just for that purpose.

In my future kitchen, house is currently being built, my island has large towel bars at both ends. One end will be toward the sink. This is where I will hang the towels. I currently have an over the door, lower door, towel bar. It has rubber on both sides of the part that fits over the door so it protects the wood.

I don't hang it anywhere. It it is just slightly damp I just leave it on the counter. Wet and dirty goes into the hamper.

Not sure about the towel question and will read this thread with interest, but i wanted to say to OP that our contractor is currently putting in Ikea with semihandmade. We could not be more pleased with the quality, and with semihandmade's responsiveness as we have had questions about how to install filler and trim. Best of luck, i'm sure your kitchen will be fantastic.

I have a 6" cabinet next to the sink, in which we installed a telescoping towel rod. The number one item I hated in my previous kitchen was not having a place to store dish towels. DH and children would just dump them on the counter, and I spent too much time folding them. Here's a picture of the current setup (not perfect, because you have to pull out the bar to access the towels, but for me, being able to push it back in and hide them was paramount).

My kitchen sink is right in front of the window. The window is flanked by the upper cabs. I put a hook on the side surface of each upper cabinet. This way, the linen towel for drying dishes is on the right side of the window, and the cotton terry towel for drying hands is on the left. Each towel is within an easy reach from the sink. The hooks are at a height that is just a little above my eye level. The cabinets are painted with marine paint, and there are no stains from damp towels. In summer, when we often open the window, the towels air dry well. Works great for us.

One could also put towel bars or rings on the cabs' side surfaces by the window.

I'm also going to put a towel bar on the wall about 3 ft above the floor heating vent for the small towel I use to wipe the counters, stove and table. When the heating is on, the warm air would dry the towel quickly. Right now I have a chair in that spot and the towel ends up hanging on the chair back. If the bar is long enough, I could hang the other towels there to dry after cooking and doing dishes in winter.

The hand-drying towel is on the oven handle and the dish towels are on magnetic hooks attached to the side of the frig.

We don't have a modern kitchen but fold our towels over a magnetic curtain rod (Magne Rod) stuck to the side of our fridge (where the towels aren't noticeable, unless you are in the kitchen). The rod's size is adjustable from 17-30"; mine is at about 19" and easily holds two folded hand towels. The magnets are strong enough that it doesn't slip around and the nickel finish is nice looking. I'm very happy with it. But then, we used to have to just toss them on the counter.

gyr_falcon, I'm going to steal your idea, a magnetic rod on the side of the fridge would work great in our kitchen. Aha!

I currently fling mine over the KA mixer, which looks dumb. If I leave it on the counter, even slightly damp, DH thinks it is a breeding ground for lethal bacteria that will kill us before dawn. (Rolls eyes.) An otherwise fine marriage has been stressed by this question; thank you for this thread.

I have a bottom freezer on my fridge with a handle that goes across the width of the fridge. I hang them there, they are not as noticeable as my oven which faces the living area.

No bacteria is going to grow on a damp towel unless you wiped up chicken juices. LOL Even then I think it would take a very hot environment. I also lay mine on the counter until I finish what I am doing in there. I have read in here that one microscopic piece of egg can kill you. Nonsense I made home made ice cream with raw eggs all of our life and I would still be making it that way if I had any one to make it for. I really miss my ice cream with the crunchy cereal bits in it. I have forgotten the name of that cereal. Not so good as cereal, but wonderful in home made Ice cream.

Emma, This is not true. You should worry about bacteria. You've just been lucky so far.

One towel (for drying hands) hangs on my sink front. Not visible from our family room, as the island hides it. The hanger is a self stick V-shaped "hook" (no hanging loop necessary). I didn't want to take the risk for the adhesive to mar the high gloss front over time, so I pressed a (non adhesive) removable vinyl piece on the front, and pressed the holder on that.

My dish towels live in my Lazy Susan corner cab which is next to my sink cabinet.

I chose the Ikea Lazy Susan over the corner pull-out specifically for the 5" of "wasted" space between the rotating shelf and the cab sides. So on the sink side I've installed a telescoping towel bar that holds 4 towels easily. I think the same bars that sjhockeyfan above installed in her dedicated towel cab.

I'm really glad that for reaching the towels, we only need to open half of the double-hinged door. As opening and closing both of the hinged doors is a bit more awkward. But 90% of the time the door gets opened for access to the towels. So no problem.

No problem with the towels staying wet either. Corner cabs are huge and Ikea cabs are not at airtight. The towels dry quickly.

Peeps heere on GW typically don't like Lazy Susan cabs and recommend against them. I love mine. It's perfect for storing small appliances, and what other cab offers two 5"x 30" vertical storage spaces?

On the other side of the Susan shelf we keep an oversized tray and a huge over-the-counter/sink cutting board.

Plus I keep a foldable stepstool and some other odd stuff underneath the bottom rotating shelf. My Lazy Susan cab should be called "Efficient Susan". She works really hard for us :-)

I use a paper towel holder and small guest towels.

https://www.amazon.com/Umbra-Stream-Metal-Mount-Holder/dp/B000HMBWWQ