We hold that composting does not require any fancy devices, beyond a shovel and, maybe, a pitchfork.  Anyone can get started in their kitchen and backyard, today!

Just start saving your vegetable scraps in a small, sealable pail, like a plastic 5-gallon paint bucket.  An even smaller trash can with a pop-up lid and a removable pail is perfect.

Keep all meat and meat bones out of this pail.  Every few days, dump the pail on the ground in the area that you have designated for your compost pile. You might throw a tiny bit of soil on top, to better "seed" the waste with your natural soil microbes.  Toss some dried weeds, leaves or grass clippings on top of the vegetable scraps.  Repeat this whenever your scrap pail fills up.

After a few weeks, take your shovel or pitchfork, and turn over and mix the material that has been sitting.  As composting proceeds, this material will be filled with earthworms (might take awhile for them to show up), and will gradually take on a black, soil-like consistency.  That's your compost!