That's wild, I didn't expect any security-centric website in 2016 to be HTTP-only! The reasoning for not doing it is weird too, they could at the very least move the update logic over to a separate SSL endpoint.
Anyway, I'm not quite sure on the differences between them but I've been using KeePassX for years and recommend it thoroughly (as long as you're not looking for a easily synced or multi-user product): https://www.keepassx.org/