Wet in the basement generates a lot of questions! My favorite place for storage is ceiling mounts. This is problematic because of variable heights of ceilings.
Only one house in my past had one high enough to hang over the door. when it was open.
The spacing of joists is a challenge too. Figuring out spacing requirements is another challenging effort. For drop bars, about 10" works well when alternating direction. When you get to mountain bikes with wide bars, the requirements change forcing more of an alternating offset.
I mounted 8 sets of hanging pullies on a 3/4" plywood piece and mounted the plywood to the available joists to fit my needs.