I got an under cabinet trash can built into my kitchen cabinets. It's a neat solution to a sticky problem in a little kitchen. There was really no other place to put a trash can.
My pull-out trash can came with my kitchen cabinets, but you can install one yourself easily enough. As you can see in the photo, mine just has a regular plastic trash can on a sliding mechanism.
Small kitchens demand careful space planning. My little 8x8 kitchen has plenty of counter space and cabinets, but there is literally no floorspace for a conventional trash can. The under-cabinet trash can was the obvious remedy.