However, I'll make a different suggestion no matter who you select, because I think that property managers select a tenant for you based on only ONE criteria that can be used, and that is financial ability to pay.
The second criteria that can be used in selecting a tenant is in their ability to 'maintain the property in the condition that you are expecting'. When you own only a few rentals you can take this approach....visit where the prospective tenant lives prior to renting to them....bring them their paperwork directly to their current home. Whatever it looks like, is what your home will look like. This is how they spell 'clean'.
Even when using a property manager, I found that doing this one step has provided me better tenants than when I didn't follow my gut feel. After seeing their living situation I've still rented to some, and was sorry that I did. Those were the ones that damaged my property, and cost me the most in repairs.