In reply to alexm198:
I would prefer to keep to hard contact lenses, as I know what they behave like, and I am happy with the multifocal lenses which I have.
So I have usually fiddled.. I always take a handkerchief, to make it easier to find lenses when shot out of the eye at speed, etc, and it can be used for getting rid of tears, epiphora etc.
I always clean my lenses at night time, so I don't have the problem in the morning. For this I take a small plastic beaker, in which to put water, to swill the lens after cleaning solution. I do this after making a big effort to make sure that my hands have been carefully washed w a small bit of soap, and min water. Yes it's a big effort.
It was a more troublesome thing on Denali with Reynaud's phenomenon fingers, and having to keep my contact lens bag between my legs in the sleeping bag to prevent freezing of solutions.
So possibly not the answer which you seek.