First, I'm concerned that you lead off with the notion that somehow being a single mom might be a deciding factor in your availability of rental housing. The facts are that the only determining factors are whether you can find suitable housing that fits your financial and lifestyle requirements. Any additional hoops you believe you must jump through because the landlord and/or manager wants to discourage single people or children, are concerned about your sources of income or why you are a single mom are problems protected under current federal and state law.
May I suggest our interactive website http://www.fbs-pm.com/renter-services/rental-search/
This website can also be uploaded as a mobile version so you can see what's available on your smartphone including video tours of the houses, condos and apartments in which you have interest. This same interactive site allows you to apply online, assist you with our lease documents and get you moved in to your new home. Later you will have a secure place to pay your rent online and thereby never have a problem with late rent penalties. If you have a maintenance issue you can communicate the same way. We provide personal resident care with technological convenience. Good Luck on your search.