TL is my favorite, and it's not a close contest. I don't like snow, so that's the first strike against BB. TL has a wonderful tropical feel, which makes it a great atmosphere. I love the lazy river, body surfing in the wave pool, and Crush N Gusher is pretty epic.
I also prefer the main counter service. The food is basically the same at both parks from what I remember, but the atmosphere is different. At TL you're sitting among palm trees, and at BB your sitting outside a ski lodge.
I've never paid attention to the children's area, so I couldn't comment on that.
The secondary slides are pretty comparable at both. BB is the clear winner when it comes to the family ride (credit where credit is due).
My last trip only BB was open, and I happily went and enjoyed myself. I would have preferred TL, but it is still a nice park in its own right.