I removed my battery to replace it and noticed the usual grime and traces of corrosion that occur in this area. Does anyone have a good spray cleaner to recommend for use in the engine bay to remove the accumulated dirt, oil and grease in cases like this?

I've used Simple Green

and one of these with the hose in the Simple Green bottle
https://www.harborfreight.com/engine-cleani...ne+cleaning+gun

Simple green (or their heavy duty purple stuff. .

try to brush and vacuum things out before getting things too wet.

Spray, aggitate, let soak, remove with microfiber towels....rinse, repeat.