Please. Please. Please.

Please i need some advice. so my bf and i are trying to find a place of our own. but they do background checks and my bf is on probation. he has a record, hes not a bad person, just made some mistakes, but not its hindering our future. his options for jobs and also finding a place for us to start our life and family together. i dont know what to do. i love him with all my heart and he has numerously apologized for his past and how it affects us now. i just, i know its hard for him and he beats himself up for the things hes done. it was silly and childish. but how and or what are we going to do?