Here I'm gluing the chair together which was much easier than the base. Once this piece set overnight, I glued the remainder of the pieces the following day.
 

What you see below is my solution for putting a compound angle on the bottom of the legs. I used a scrap piece of wood and stapled some 80 grit paper to it, which worked pretty good. I tried using a rough file first but that didn't work very well. Then I started thinking about a setup for the milling machine and decided not to. I then started using my small sanding block to work the angles with and that's when the idea of using a longer piece of of wood/sandpaper came to mind. By spanning across two legs at a time, slowly those pointed legs became compound angles and I was in business.
 

This only took about 1/2 an hour and I had the legs and angles looking pretty good. If your asking, "why didn't you put this compound angle on before you glued everything"? I did think about it, but for some reason I just didn't do it. My bad....
 

I'm using some # 10 stainless steel wood screws to hold the tray on with. And with the nice rounded heads that they have, I decided to get out the Dremel and give them a shine. This only took a minute or two and now they look pretty good.
 

To protect the high chair, I'll be using some clear semi-gloss urethane. I thought about brushing some clear on but with so many small areas to cover, this aerosol can was a smarter choice. BTW, to end up with two coats for this project, I had to use two cans of it. This stuff sure is smelly but it does cover well and it's easy to apply.
 

Here is my paint booth, two sawhorses and a piece of plywood. If you look close you can see my work pieces are not touching the plywood. I like to use finish nails under my projects because those have a small head and I can spray or brush things much easier this way.