that's a fine line but if you're eager and nervous about not finding a place in time than you should definitely keep your eyes peeled. obviously if you find a property that suits you you would have to act on it by securing it with a payment otherwise, someone else will get it.
some resources for you:
1. westside rentals http://(www.wsr.com)
2. property management companies such as RST, Roque-Marc, Sullivan-Ditari, etc..