In reply to mav:
Surely you're long sighted not short sighted? 😉
Pedantry duties fulfilled; you can get running glasses with a magnifying area just at the bottom of the otherwise non-prescription lens. I bought Mrs Ridge a pair made by Dual, but putting 'bifocal sunglasses' into Amazon pulls up running glasses with yellow lenses and a +2 correction for about £16. Might be worth a try to see how you get on.
I'm the other way round from you. I'm short sighted so can see my garmin but nothing much else. In poor (rainy) weather I wear a corrective disposable contact lens (so I can see distance) in my dominant eye, and the other eye is used uncorrected for map reading or looking at my watch.
You'd be the other way round, leaving your dominant eye uncorrected for seeing distance, with the corrective lens in the other eye to see your watch. Your brain rapidly sorts the overlapping images out and selects the best option. May take a while the first time you try it.
I also wear varifocals full time and, (after the initial adjustment where your brain sorts out the weirdness), I have no problem, running, biking or driving wearing them.