Switched to LastPass from 1Password a year or so ago because of linux support. Haven't minded. I like 1Password more (just because of the prettier UI), but LastPass is good enough.
It works pretty well on iOS. And since iOS 8 it even supports form filling in Safari using extensions.
There is a 1Password Android client, but it's not from the 1Password people iirc.
Yes, 1password have official android and ios apps that are working quite well. It's possible to enter passwords without placing them in the phones paste buffer.