
The first pullouts I made were for the kitchen island. I purchased 22 inch full extension slides from Woodworkers hardware (KVTT100 B22). They are quite reasonably priced.
The rear of the island is made of 1/4 inch plywood. I jointed 2x stock smooth and attached it to the rear wall with 2 part marine epoxy. There was plenty of surface area to give me a sturdy bond to the plywood. This gave me a place to anchor the rear of the slides to. The front of the slides were screwed to the oak face frame.
The slides themselves were made from 1/2 inch birch plywood with 3/4 inch popular glued to the end grain.

The same construction technique was used on the narrower cupboards next to the stove. Bit of a puzzle figuring were to stow stuff, but it is easier to retrieve.