tenant standards?

[DJ Cummins]

Hello all,
So we bought our first four plex a little over a month ago. 2 units were already rented, and we have cleaned and painted the other two. We have shown them about 10 times in the past 2 weeks, which i feel is a pretty good number. We have been running background checks, and we have turned down every single applicant. All have either had a previous eviction, or a prior felony. Are we being to picky? It feels like playing it safer the better is the best strategy here. The 2 units rented out are pretty much covering all of the bills, so it isnt killing us to hold off. What are your thoughts?