I would like to make a pull out holder for my kitchen trash can.
Maybe something like this?
Here is a video:
Here is a nice tutorial with plans for you. https://www.diynetwork.com/how-to/rooms-and-spaces/kitchen/how-to-build-a-trash-can-holder
Here's one that you could put in your existing cabinet: https://www.youtube.com/watch?v=UE5fnEooR-Y
This may help:
here is what we did! https://www.charlestoncrafted.com/turning-cabinet-pull-trash-can/
You can buy the slide outs at Home Depot or Lowes, etc. just know your measurements of the cabinet you would like to put it in and it is easy to install
DIY stores or Kitchen stores, sell sliding out fitments you could use to do the job! or buy a fitment ready made.
I bought a large wicker hamper to hold my trash can. It's cute and hides the ugly trash can.
We bought a slide out track at Home Depot and the pail that fit it and we installed it under the sink. Super simple. Works great. Here's a peek if you like. https://www.exquisitelyunremarkable.com/2018/06/easy-to-open-kitchen-sink-skirt.html
You can buy a pull out piece that fits into your cabinets. You can put it inside a lower cabinet for a trash can.