We are looking for a moderately priced hotel or guest house in Belfast in September--2 rooms, 4 adults.
Any recommendations?
booking.com
Look at Premeir Inn Titanic Quarter
Another vote for the Premier Inn. It's adjacent to the Titanic Belfast Museum and is a short walk into the city center. There's also a HoHo bus pickup point less than a block away, so unless you plan to explore further afield you won't need (nor would you want) a car.
We just stayed two nights at the new Hampton Inn in Belfast. It was very nice and centrally located.