Your price for a month sounds far too cheap. Also add in a share of utilities and water or maybe even cable, but cable will cost the same regardless of whether you have a roommate.
Zillow.com has a cheaper rental application process that runs a credit check and criminal check. About $29. Look for zillow rental properties. You can advertise your property here as well. For free.
Zillow rental will also build a state-specific lease with check boxes for different items you might want to include.
It generates electronic copies of all documents and provides for electronic signing even over your phone.
Have potential tenants apply there. Don't waste your time considering applicants with no qualifications. Only view tenants that have been successfully prescreened. The tenant benefit is they only apply once for all properties they're interested in renting. In the old days a tenant would have to go through an application process for each individual property and that gets expensive fast.