New in mannheim (Mannheim)

Dear all,

I am moving to Mannheim in a couple of months. I wondered about:
- communication Mannheim -Frankfurt Airport. I will be having to fly quite often. Is there much traffic? ( are there many tolls?)

- is there any nice city between Mannheim and Frankfurt to live in, so as to be closer to Frankfurt. I like big cities, and may be is better to live 30 min from Frankfurt, and 30 min from Mannheim?

- which are the nicer neighbourhoods in Mannheim
Thanks a lot,

Marta