I recenlty repiled to another thread about TL, recomending BB for familes with young children. As mentioned before on this thread, Tikes Pike is a great play area for little ones (it is more gentel and kind then TL, more for ages 3 and under.) The kiddy area in TL has lots of water splashing in faces and no slides that parents can do with the children on their laps. At BB here is sand to play in, jumping and splashing waters and at the top there is this "snow hut" that has 4 slides coming off it. Parents can ride with the little one on their lap if needed (if the parent isn't "oversized". ) My DD loved this when she was 23 months old, and 2 years old and 2 1/2. She is a bit timid and I must of went down the little slide with her at least 50 times.
I say go for it, especailly if the weather is nice and others in the group will really enjoy it.
The wave pool at BB can be good witha little one, if the adults holds them. BB wave pool is much more relaxed and has a area to the right of the park that the waves just kind of roll in. Also you can take the 14 month old on the lazy river with you. They do have life jackets you can use.
Go for it, it is a good time for the whole family. Just bring sun screen. (also they let you bring in food and coolers if you like.)