I use 3 rinse containers.
1 clean white pail filled with freshwater. Hook regulators to cylinders and presurize. Leave soaking as long as possible. Hose down hoses, 1st stages and cylinders includng in the boots. Then swish and purge, amazing what ends up in the pails after a silty or cloudy dive. Repeat for Primary, Alternate, Gauges.Console and QD connectors. Let dry some or wipe valve area dry. Depressurize, cap and hang the regulator set and take cylinders for fills. Be sure to keep 1st stage inlet and tank outlets dry.
2. Big barrel; Remove BC weights and place in barrel. Drain dive water form BCs Place BCs in barrel, let them soak. After a while remove BC. Hold inflator dump valve and add at least a pint of water, slosh around, drain through all dump valves, repeat 3 times total. Hang all properly on BC hangers to dry. Assemble when dry or for next dive. For back to back dive days you can shave this some especially if it's fresh water. Problem is that bioloads are hard to guess and stuff can stink quick. Orally inflate the hanging BCs so that the insides of the bladders are not clinging to opposing surfaces. Check for remaining inflation when setting up for the next dive.
2. A tub filled with fresh water for all the neoprene. Dunk slosh and hang on hangers or a homemade drying rack. Anything that goes on your head, then your main suits, gloves, footwear. Make sure you have a means for them to all drain and dry. Let the suits dry inside out, you'll have the best chance of doning dry next time.
Also rinse any lights, reels etc
Refill the big tubs after use. That way you have nice sun warmed water to come home and rinse in. Nicer for you on a cool evening and I think it frees contaminants better.
It takes my wife and I about 30 minutes to do it all along with hanging towels, stowing coolers and all that other stuff.
It's a big investment take care of it. Your lives may depend on it. Spending time with your gear gives you a chance to notice stuff.
BTW all of my dive gear manuals have been pretty useless so I think you are doing the right thing by asking for input.
Pete