I shaved at a gym for almost 10 years. I had my own locker where I stored a 7 day set of razors, a couple barber hones that exclusively maintained those razors, a strop, a mug of soap, and a brush. Few people bothered me though I occasionally noticed people silently watching from a distance. Only a very few asked my about my stuff.

One guy asked me if they were legal!

One old guy came around the corner, saw me, and yelled (seriously, yelled) "Good god! A straight man!"

All of the activity around the 10 sinks in a row in front of benches and lockers never bothered me. I had no problem focussing on what I was doing. As far as I was concerned, this was how I shaved and I was there to shave and so that's what I did.