good area would be -Grove street, Newport, Exchange place.
bad area- Newark avoid at nights.
Grove street - studios- $1500 inclusive of electricity water n heat/ ac in METROPOLIS TOWERS ( 280 MARIN BLVD N 270 MARIN BLVD) I guess its a good deal.Opposite to the bldg you have the grove street path stn and groceries 5 mins walk n BASE gym near by.
You may get cheaper apartments in Wayne street, Montgomery street.
Newport is excellent but expensive. I heard studios are really small compared to one in Metropolis -- its huge like 1 br.
You can also check out apartments in 1st street in marin blvd.
Hope this info will help you.