Modified the original plan to meet our needs of a laundry sorter. Had problems with the hinges so ditched them. I used dowels with a combination of a chamfer cut on the bottom of the door. Dado-ed the trim on the doors and slide the bead board panels in. The face frame is all held together with pocket hole screws, which I highly recommend because it eliminates nail holes and keeps the face frame square. This was my first wood working project, took me a little long to get it done. Thanks for looking.
Modified January 28
So here are some more pictures of my project. I don't really have any good pictures of the dowels. But what I can tell you is, I drilled holes through the sides of the face frame and the trim pieces and then measured where the holes would be in relation to the "drawer". I then drilled holes in the drawers at those measurements, I was careful to not go to deep. I think I went in half an inch. After that I started at one end and placed the dowels in, then put each drawer in. It wasn't easy but with a little patience it worked. The key is to wax the dowels so they will last longer as well. I also am including pictures of the top and bottom trim. On the top the original plans called for an overhang piece and I didn't like the way that looked. I ran the top board an inch long on each side and then wrapped it in quarter round trim. I did this because I plan on adding the Mimi Hutch Top. The bottom was built per the plan, but I ran into a problem with my bottom trim not being level and you could tell. So I raised the whole unit on 1 1/2 legs then placed it on a level surface and again wrapped it in a decorative trim. The key on both trims was a nice miter joint. Last picture I added was of my stoppers. I took scrap from the 1x2 trim and cut them to an inch and a half or two (can't really remember), then using the Kreg Jig drill bit drilled recessed holes. I then opened the doors until the side 45s were level then mounted the blocks on each side. I feel that it is better than a chain or string catch. Again thanks for looking and I hope I answered all of your questions.