craigslist.org is definitely a nice place to start and see.
rent.com is a waste of money, in my opinion, as well as the other sites just like that. don't bother with those.
the only way we (my family and i) have been able to get apartments are through 1. realtors and 2. connections.
realtors are expensive, so i'm not sure if you're up for paying for that. i wouldn't.
connections are important. the way we got our current apt. is because we're the same nationality and the landlord is my cousin's boss at his job. another way we got another apt. was because the superintendent of the building was my aunt's husband's friend.
getting an apt. is really difficult. try to ask around, like your coworkers and stuff.
for now, definitely
search as much as you can on craigslist.
also, be aware almost every single person will do a credit check.
good luck!