... inflate it orally and dump any water inside wing using butt dump.
This is especially important if you dive saltwater. Using the inflator to dump the rinse water will reintroduce salt residue into the inflator. Good advice from Marie13 to use the butt dump to drain the wing (or BCD)..
From what I've seen, inflator failure is the number-one cause for aborting dives.
Also, use one of these
BC Washout Hose by XS Scuba.
It cleans out the inflator, and fills the wing with fresh water for rinsing. You don't need a lot of water inside, maybe about a pint or two max.
Orally inflate the wing and shake the water around. After dumping the water through the butt dump, hang the wing right side up with the butt dump valve removed to help drain and dry.
(Respect to rhweastfall, but if you dive in saltwater, I believe hanging it upside down may drain salt residue back into the inflator, IMHO).
Buy the tools and learn how to service your inflator. It's easy and will save a lot of headaches if you keep it clean, especially if you dive saltwater.
I do the service about twice a year, or after about forty dives, or whenever I feel the inflator getting sticky.
Finally, the day before you dive again, hook up your cylinder, regs, and inflator hose and test your inflator and wing. Both inflating and deflating.
Also confirm the wing is holding air and not leaking.
Check the zip-ties, or plastic rings, that hold the corrugated hose to the wing and inflator.
If you find something wrong, you have a day to sort it out.
It's usually too late if you find a problem just before the dive.
If you do all that, you'll never miss a dive because your inflator sticks.
And like Marie13, I also completely disassemble wing, plate, and STA to wash, dry, and store.
K