I give mine a bath when it's cold out I just make sure the bathroom is warm with a heater or turn up the heat. and then I blow dry on the warm setting keeping the dryer moving so they don't get too hot.
There are alot of great shampoo's out there I have cowboy magic for my pups there is a product review area here that lets you know the good and the bad also maybe try the grooming section.
or type Shampoo in the search at the top of the page in the blue bar,.
BTW welcome to YT