Where do I purchase a kit for painting a table?

If it’s a plastic laminate table, then a big box DIY store.

I don't know of a specific kit, but you can find something comparable at craft, art, hobby and home improvement stores. Take a good photo and ask the sales staff to help you find exactly what you need.

Don't know of any kits. Just basic supplies. Sandpaper, paint brushes, primer, and paint.

https://www.hometalk.com/search/posts?filter=paint%20table

Rather than a kit, decide what supplies you need and purchase individually.

About the only paint kit I can think of would be Rustoleum's tub and tile kit. It would certainly work on just about any surface.