I don't like sprays as they are airborne and can get into the respiratory system.
I have 30 + in a small room and I don't find a smell either.
You could lay out , or hang some potpourri away from the cages. Nothing with too much of a smell, or hang a bounce/laundry sheet . They say they work pretty good for odors, I put them in my dresser draws.
I like to wipe off the shelves most evenings with a vinegar wet rag.I pick out the pee spot and move the dry shavings around. Once a week they get a complete cleaning with vinegar and water. I do store a garden size garbage bin there for cleaning out the cages. I do spray a disinfectant around the top when I'm finished for the evening.
I have not used the febreeze but I think it's one of the lighter scents.