I think that bootcamp by trice is a little more advanced than is appropraite for a starting player. I think that both the above recomendations are great (501 backgammon problems, and of course magriels backgammon). I would also add Roberties Modern backgammon into the mix, as I think that it addresses the thematic elements of checker play better then any other book.
Other then reading books I think this forum is great, especially the discussions that come around the problem of the week. There are lots of very good players around here with great insight.
Next, just keep playing. If you can you should join over at gridgammon, its where lots of great players play online (generally 5-9 points matches). Through experience you will start to recognize what is working and what gets you in trouble. This is true for both moving the checkers, and playing the cube. I would also highly recomend getting some sort of bot to play against and learn from (both watching its plays, and exploring analysis of your own). I would start with xtreme gammon, as you can get a good trial out of it and then if you like it, to purchase its $50. GNU backgammon is also great, and free.
I hope this helps, and good luck!