I like removing and tumbling all of the Mechs and installing those first. Depending on the amount of dirt in the wiring harness dictates the next step. Sometimes it’s driveway with mean green, sometimes dishwasher, sometimes it’s just a Rinse in the shop tub. You can generally wash everything with soap and water no problem, but watch out for the coil wrappers with degreasers.
Doing everything in a big wad is doable but there’s always dirt in there, and you need to put new sleeves on all the coils anyway