Here is my cold time of year method. I wash mine in my closed garage and pretty much don't get my hands wet doing it by wearing nitrile gloves.
I mix 4 oz of Optimum No Rinse Wash & Shine with 4 gallons of water in a 5 gallon bucket that has a grit guard installed. I also have a mixed spray bottle of Instant Detailer and mixed spray bottle of No Rinse Wash & Shine.
I dip the microfiber wash mop in the bucket then start with the roof going back and forth covering all windows of the car then put the mop back in the bucket. I rub the mop back and forth slowly over the grit grate to clean it.
I go over everything I just washed with a microfiber towel. Then I use another towel to make sure it is dry.
When not doing windows I spray Instant Detailer after washing with the mop but before wiping down with the towels.
I wash my aero wheels with the mop as well but do not use the Instant Detailer spray because I don't want that on my rotors. I use already wet micro fiber towels to finish up the wheels.
When cleaning the door sills etc I just spray on some No Rinse Wash and use an already soaked towel to clean it. Same for the inside trunk area.
If my car is obscenely dirty I will get a clean bucket mid way into the job. People say this is unnecessary but I'm paranoid.
Remember not to use excessive pressure when cleaning. You may have to go over an area a second time or just finish it with your first toweling of the area you cleaned.
What I use is below, I did not buy everything from Amazon but it is a convenient way to list what one uses.
I also have a foam canon, pressure washer and other products for summer use.
Optimum No Rinse Wash & Shine
https://www.amazon.com/Optimum-NR2010Q-Rinse-Wash-Shine/dp/B00D8DR0AO
Optimum Instant Detailer & Gloss Enhancer
https://www.amazon.com/Optimum-ID2008Q-Instant-Detailer-Enhancer-x/dp/B00GG9FJKU
Grit Guard Insert for 12 inch Diameter Bucket
https://www.amazon.com/Grit-Guard-Insert-Red-Diameter/dp/B000N3W8J0
Microfiber Wash Mop with 48# extension pole
https://www.amazon.com/AutoSpa-93303-Chenille-Microfiber-Extension/dp/B01EA6DCBI
Premium Microfiber Towels
https://www.amazon.com/gp/product/B00A8MZ7IA