If you get your wife or a friend on board to learn with you it would be a big help. If one person misses something the other will usually catch it, and both people will have a better understanding. Plus having another person to learn with you will help you keep on track with a time table.
As far as you teaching your kids something wrong. The best way for you to prevent that would to talk with other Lojbanists in chat rooms, or on the new phone thing that's going on. The phones sound like a good idea because you'd have undivided attention of other people (unlike chat rooms where people might not be very focused), who would probably point out any mistakes you make. (But you'd probably start using the phones after you've learned lojban, and are trying to find mistakes).
As far as your learning goes, I liked using the "Lojban For Beginners" lessons at http://www.tlg.uci.edu/~opoudjis/lojbanbrochure/lessons/book1.html