Soap and water will remove it, the hotter the water the better.
I'd be leery of using a pressure washer underhood (I know people do, just a bad idea IMO) unless pressure was turned down to ~50PSI, but as long as it could use soap it would be fine.
Any of the various chemicals aimed at cutting grease may be harsh on the paint or plastic, so I'd shy away from those.
Car wash normally has low-pressure soapy water, even though it's most often not heated. Soap cuts oil, so it should work ok. If the car was still warm, would probably work even better.
Edit: lots of thumbs down for people, but no real answer as to why low-pressure water and soap would be a problem, as opposed to the various oil-cutting chemicals that normally say to keep away from plastic and rubber, which is exteremely prevalent underhood.