I'm going to use an FHA / 203K loan for the majority of the cost. I believe that the MSHDA program lend me $7.5k for the down-payment if it's in Washtenaw and Wayne counties (I wouldn't qualify in many other places), but it's not a deal breaker if I can't use MSHDA. I have my own cash saved up for the up front costs. Somebody also mentioned that MSHDA might not cover multi-family properties.
I'm comfortable around the $150k - $180k range, but I would go up to $250k if something great comes by. With that said, I don't want to exclude anything without a proper review.