Pro V
With a 22 foot distance to cover I would think you are going to need an ir extender.
I have been using this product [Link: smarthome.com] and I am very pleased with the results.
So the answer is yes you can use your PALM Vx as a universal remote control.
How will it work? If you use the ir extender mentioned above it will work great,and you will have by far the best bargain out for a urc.

Good luck.
Dan