Tire Repair by Richmond/Fondren/Westheimer

One of my front tires has a slow leak and I think I found where it was punctured. I think it could be patched (hopefully). Went to RPM Auto for some other work and they did a great job there, but tires aren't something they do. The guy told me to check out a tire place on Richmond, but wasn't specific. Any recommendations? FWIW I'm a young woman and don't want to go somewhere that I'll be scammed, I've had this particular set of tires for almost three years now, they're firestone tires and definitely have a lot of life left in them. Appreciate any and all insight! New to the area 🙂