Since this is your first build I'd suggest doing something like a strat or tele just to get an idea of what to do but if you're up to the challenge go for the Les Paul. I'd do a lot of reading on this site for info on building.
The old way of doing burst was hand rubbing them with dyes and blending the colors. Do a google search on hand rubbed bursts and you will find articles. I'd like some but you always find more info when you look it up yourself or at least that's how it works for me. The burst you asked for colors is just an amber and brown more than likely.
Some sites to look at for some ideas are Stewmac, LMII, Allied Lutherie and of course eBay. Stewmac has a lot of good articles on their website. What are you planning on doing for a top coat over the burst? Just dyes won't protect the wood, spraying is the easiest way to do a burst IMO but more expensive. Some companies sell aerosol cans that work. I wouldn't use paints because they are opaque. Try and use a colored lacquer and clear or hand rubbed and clear and like mentioned test on scrap wood.
What do you have available for tools?
I'd do a lot of reading and have a good idea of what to do before starting though. It's always better to go into a project with more info than needed rather than less and just go with it, been there done that with my first build, it plays but the action is high enough to be a slide guitar.