This is the single most important thing you can do!! I know you want your dogs clean, but without proper brushing before the bath you are creating problems. The felting process begins with hair not properly brushed, then getting wet and dry. I explain in the video. Mats, especially felted mats, are painful for your dog when I brush them out.
Slicker brush. Brush info here.
Spray bottle with diluted creme rinse. Recipe here.