You probably can also charge a larger than average security deposit to weed out the people with cashflow problems. Most states have a cap on amount of security deposit collected, I know here it is twice the monthly rent if under 60. Otherwise the cap is one month's rent.
Here's the rub: You usually gotta have a great place to rent that attract such tenants.
DISCLAIMER: I am not a landlord but I am considering becoming one. Yes, I FULLY know the risks, my parents were landlords for over a decade. So I know exactly what NOT to do as they only made pennies. My grandparents are also landlords and make plenty of money on their rental properties, so I have a positive model as well as a negative one. :)
My TOWN even has a whole book of additional rights for tenants/obligation for landlords in addition to national and state regulations.
Being a landlord is serious business.