Relocating to East Bay, need help…

Hi all, We are a couple moving to East Bay area in October for my new employment. My work location is in Livermore. I am looking for feedback on which cities to consider for living. I do not drive and looking for places close to public transport (BART/Wheels) and grocery stores. I am currently thinking of Dublin/Pleasanton/Livermore. I need your inputs on the following queries.
(1) Is it better to opt for a short-term rental for 1-2 months initially and then look for a better place.
(2) Any other cities that I missed in my earlier list.
(3) What are the best websites to search for rentals. Is craiglist ‘the’ best resource?
(4) Are there any places available from October for 1-2 month rental for a couple.
(5) what is the average rent, can I find a 1 bedroom flat within $1600/month.
Thanks,
Krishna