Unpopular girl name

Megan
I've posted before so I apologize, but we've been pretty set on Lila for our girl twin since we found out we were pregnant. However, since then, I've read three or four articles predicting that Lila will be a top ten name in the next five years! I grew up with a SUPER common name and hated having to always go by a last initial. Is Lila too common now? We have two other names that my husband miraculously doesn't hate. What do you guys think?
For reference, our boy twin is most likely going to be Chase Bradley. 

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