When I was young I remember watching my dad pour a little gas on the oil spots in the driveway, let them sit for a few minutes (gas will most likely be evaporated by then) then he poured a wee-bit more and then lit it on fire..
Then he pressure washed the driveway.. partly cause it was covered in pine needles and moss, but also due to the oil..
First of all, congrats on the house!!!!
Second, be careful with gas, it will eat through the concrete as well lol. I typically just rinse with water and soap and wait a few days.