My company uses join.me (a Logmein product) all the time for easy screen sharing. It's one of the few quick screen sharing apps out there that doesn't require a heavy download and is user friendly enough to be used by all of the people in our company and all of our client.
I've been using LastPass since 2011 and have been really happy with it (other than the slightly opaque UI and design from the 90's).
I'm hopeful about the acquisition, maybe logmein can give some UI/UX guidance to the LastPass team, while the LastPass team can help expand and grow to help more people to use a password manager.
If not, there are plenty of other password managers out there, I suppose.