I've gone through and detailed my latest Crossfire purchase. For the engine bay I used the Chemical Guys Degreaser diluted (10 % cleaner, 90% water).
I did one area at a time spraying on the cleaner and using a couple of these brushes to loosen dirt and grime.
I used a regular garden hose with an easy spray to rinse the area cleaned.
Here is a picture after it was cleaned. I did not apply any engine bay dressing (shiny stuff) yet. I was very pleased with the results.