I would say kind of skilled. I can do some stuff but I also don't have a tone of tools. But can borrow or have the hardware store help me :) I'm trying to figure if I even need a cabinet- maybe just build a platform and a box for containers?

There are 52 million videos on how to do this on YouTube, and most of them start with a normal height and depth cabinet with a door. Your best bet is to remove the desk (and the granite, I mean, what can of worms are you worried about? Have it re cut to fit the top of the new cabinet) and replace it with a white cabinet that comes with a trash pullout. 30” width is a standard cabinet width, 24” depth depth, also standard, should bring you even with your normal height cabinets. IKEA makes white cabinets with pull outs that sell for around $300. You can assemble and install it yourself. Good luck.

I added pullouts to a bunch of cabinets using Blum metaboxes. Your panel attaches to the sides, so it functions as a drawer.

In our last house we had space for a 6-foot vanity. The original configuration was a 36" cabinet, an empty space, and 12" drawers. We bought 2 matching 36" vanities, and I turned the "dead" front (where the sink is on the other side) into a drawer with a Metabox. Since the kit includes just the sides and glides - you provide the wood for the front, back, and bottom - you can make it whatever width you need.

@eam44 As you said, the granite piece would need to be cut as it's wider than would fit next to the other piece. It's also shorter and would sit farther back than the current high piece, leaving a weird corner between the two pieces. I also do not mind the little drop center for my kids things and mail etc. . All that to say, I was trying to do this without having to have someone cut granite and pay that much for a cabinet/extra help. But thanks for the idea/feedback!

I got a pullout (from Target- that is 18" long/deep and 14" wide, to accomodate the drain pipes under the sink. In my 30" cabinet, I put that and next to it a standard trash pullout that is 11" wide (to leave room between them for the garbage disposal.) I wanted the pullouts to hold more than the trash/recycling/compost bins, so that is why I have the wider one. You might be able to fit 2 14" side by side, But an 11" wide is perfect for most cans, and 2 of those would leave room for storing something else, perhaps in a narrow wall mount bin or pullout.

The part you might want to jerry rig would be the support that most bespoke can pullouts have to hold them in place, but I have found that they aren't essential.

Here is the one I have: Amazon.com: LYNK PROFESSIONAL® Pull Out Cabinet Organizer, 14" x 18" Slide Out Drawers for Kitchen Cabinets - Sliding Pull-Out Pantry Shelves – Home Shelf Organizers - Lifetime Ltd. Warranty, Chrome : Home & Kitchen . It has been every bit as good as a Rev-a-Shelf unit.

Amazon has a couple of 11-12" x 18" pullouts listed. Probable can find them elsewhere, also.

Here's another idea - I installed this trash/recycle pullout in our current house. It's rev-a-shelf, and is mounted to the floor of the cabinet. In your case, since you probably don't want to screw into hardwood, I would cut a piece of plywood to fit the space, and secure it to the cabinet and walls with L-brackets (after taking out the baseboard). The only issue is that they are 22" deep, and you only have 21", but if I HAD to have it, I might cut out some drywall at the back to make room.

You could install two of these side by side, with two separate doors. I used is for two cans, but you can certainly put in just one can, and store something else (like a box of trash bags) in the back.

Rev-A-Shelf trash pullout