In the shower I use a washcloth but no soap. I gave up the soap over a year ago and neither I nor my loved ones have noticed any unpleasant consequences. I do shampoo regularly.
I shave with a disposable razor and canned shave cream. I used to use a shaving brush and shaving soap but I think I threw the brush away the last time we moved. I gave up on shaving gel because it felt too cold when I smeared it onto my face. It’s my understanding that some men shave before showering, though I have no idea why.
I cut my own hair using an electric trimmer with the three-eighths inch attachment. Usually I do this outdoors so I don’t have to sweep up the clippings. The hardest part is getting the back of the neck even.
I remove unsightly nose and ear hairs as needed with an electric rotary trimmer.