For our first cruise post-Covid, my wife Marie and I chose to try out Celebrity on a reasonably simple itinerary to Bermuda and Charleston, SC. It was also our first attempt at a cruise after Marie had back surgery, which unfortunately has left her with some significant mobility issues; she now needs to use a 3-wheel scooter to get around on ship or on shore -- being able to walk only a few steps at a time on her own.
We booked an "accessible" interior stateroom (2031) because it promised to be a bit roomier to allow us to manage the scooter a bit easier. The room was great, and the scooter worked well throughout the cruise. One minor problem is that the thresholds into several areas (like the Oceanview Buffet), as well as between sections of the ship in the stateroom deck hallways were occasionally a bit jarring to get the scooter over -- this was a constant annoyance, but no worse than that.
The Celebrity shore excursion folks were helpful both before the cruise and especially on-board, to make sure that our excursions in Bermuda would go off well with Marie's needs. Before the cruise, the only way to contact them was via email, but they were generally responsive within 24 hours. I wished several times there was a way to talk to someone on the phone who was reasonably familiar with what particular excursions would entail, so we could judge better whether they would be suitable, but I guess that's asking a bit much. The email support was essentially a channel to forward questions and get answers from the various excursion operators. For Charleston, we decided to arrange our own tours, and that actually worked better, because we were able to talk to the tour operators directly to be sure that the needed accommodations would work.