My engine compartment wasn't greasy, just ~ well, look at the photo. I washed it like you said with brushes n whatever, the let it dry, then used Aircraft paint remover(gloves, a good respirator!); it worked very well!! Also a good time to check your shock towers out for cracks n such. If you're replacing your brake lines, this is the time to do it! and gas line! I used seam sealer in all seams. After I was finished with prep, I used Eastwoods epoxy primer, easy to use, sands easily, etc(as with any chemicals, you need the best respirator, if not a fresh air breathing system). I also, like many, replaced the battery apron, then strut channels and radiator support! one thing always leads to another! Also a good time to maybe take close look at your steering~ easy to work on now vs on a creeper!