Consider this before I leave
The homes I am looking at would require aprox $12.5k as a down payment and aprox $3k in closing costs. I have $3k in savings.
If the seller has in their ad they are willing to pay $3k in closing costs, it seems to me I would be more prudent to have them lower the price in negotiations versus paying the closing costs. Although, if (for whatever reason) they balked at lowering the price, but where willing to pay the closing costs, I would just use the $3k as a down payment...and nothing would really change.