I had my flu shot and Shingles vaccine part 1 (which is called Shingrex) back to back as a "vaccine doubleheader" or "vaccine double whammy", if you choose, at Rite Aid. Both shots in same arm one after the other, flu first and then shingles. I know the pharmacist well and she gave me my past shots as well. Rite Aid (at least the one I go to) has a special vaccination room segregated from the rest of the pharmacy so you are isolated and have total privacy. I am supposed to get part 2 of Shingrex in 2-6 months, they said they would call me. I had the chicken pox as a kid so that virus is "dormant" in my body and doesn't need to come back as Shingles. I actually have some very small scars from my bout with chicken pox as a kid.
BTW Shingrex is not a live vaccine so you can take it while on Remicade.