I keep switching between Liftoff and Connect because they both have some issues that are resolved in the other.
Connect seems to work better with showing all federated content than Liftoff, but Liftoff allows multiple instances to be logged in at once. Connect has notifications, and Liftoff does not. Liftoff has more user-centered features like actual profile pages that show a background image, bio, and avatar; connect does not.
Neither one have any tools for moderation, though. I am now a mod for Humor (BTW, come post! Let's make it better than /r/funny ever was!) and I've only been able to do actual mod things on the website itself, which is tedious to do on mobile.