You can avoid splitting or marring wood, such as hardwood molding, by using what is called a nail spinner. With this low-cost device chucked into your power drill, you just insert the nail and then "drill" it into position. The nail will penetrate to within 1/4 in. or so of the surface, then you can drive it home with a hammer and a nailset.
Sellers will sometimes opt to remain in the house after closing via a short-term rental agreement. As the new owner, be sure the purchase contract and rental agreement stipulates that the sellers repair any damage they cause after the closing date.