This was a really fun starter project for me. I've never made furniture before and I ran into some issues, but I learned a lot and enjoyed myself! My husband and I live with my Father-in-Law who has all the tools I needed (though I'm going to purchase my own later on).
The stool and table plans are here: http://ana-white.com/2009/11/plan-kids-large-storage-play-table.html . I modified it slightly because I was using scrap pieces (two doors from a particle board wardrobe). I don't like particle board... but I figured since it's my first try, I wouldn't waste any cash since I had all the stuff here, even the nails and screws.
So I made the table about 2 inches shorter and the stool 1 inch shorter. I also used a rectangle top for the table with one side flush against the table side so I could put the set against a wall (i.e. three sides have overhang, the 4th is equal with the legs).
I painted both sets a dark red orange (my husband's favorite color) and let my daughter put her handprints all over in white paint . She LOVES it. And despite the 'wood' I used was particle board, it's pretty strong. I'm pleased. I will probably make another one with stronger material in the future.
Oh there were a lot of holes and such from the used board and some breaks from being thin, crappy board, but I was able to use filler one a lot of it and glue too. It's hard to tell it was a beginner job from a few feet away! Haha!