for applying product i would use a good microfibre towel or if a wax an applicator foam pad. Most online detailing shops sell them.
As for drying towels i use a huge waffle weaver Micro fibre towel, I can dry a whole car with one without having to ring it out.
Works so well i can rest it on the roof and simply drag it off the car, no patting down or having to dry the area again.
after draping over and pulling the cloth towards myself
towel placed on the car
pulling it towards me - as you can see no pressure needed