Last fall we went to TL one day, then BB the next and both my 2(almost 3)yo and my 8yo liked BB better. The kiddie area at BB (Tike's Peak) was a little mellower, without as many sprayers, so the little one preferred that. Also, BB has a sort of "junior" area - Ski Patrol Training Camp (??), so most of the bigger kids were over there, leaving Tike's Peak to the truly little ones. At TL's Ketchakiddie Creek, there were so many bigger kids spraying the little ones mercilessly, that my little one didn't get to enjoy the kiddie-sized slides and such at all.
We thought the family raft ride was much better at BB, too. It really depends on what your family likes, but for us, the one at TL was so short, we felt it wasn't worth the wait. My 2yo loved BB's family raft ride (and the chair lift ride to get to it), but she also loves Goofy's Barnstormer and cried because she was too short to go on Splash Mountain. If your little one gets scared on Goofy's Barnstormer, you may want to skip it.