I got my first shot about 2 weeks ago. I had them inject my left arm, because I've been having minor joint trouble with my left shoulder, and I figured I'd rather have only one sore shoulder than two.
About an hour after the shot, there was a brief moment of mild tingling in my fingers, which went away after a few seconds. No other symptoms of note.
The next morning, my shoulder felt fine. No, it was better than fine, because the joint pain I'd had before the shot was completely gone. Later that day, I noticed a bit of pain if I pressed directly on the injection site, but the area was no larger than a thumbprint. Shoulder mobility was still great.
Over the next few days I noticed a kind of stickiness in my fingers, but it was only for brief periods, and only when I was intentionally holding onto things. "Stickiness" isn't the right word, because it wasn't actually sticky, like honey or jam smeared on my fingers. It was more a "grippiness" or increased friction, like when you dampen your fingers to separate some papers. Things didn't stick to my fingers, they were just much easier to pick up and hold.
After about a week, I also realized that going up and down stairs had become easier. It wasn't that I was less winded, it was more that my balance and agility was better. It sounds trite, but I had "more spring in my step". I could easily take steps 2 at a time, even holding bags of groceries. I didn't even need to see the steps, I just knew where they were, even if my line of sight was blocked.
I don't know if any of this is related to the vaccine, or if it's just coincidence, or even just the power of suggestion. I don't much care, because I like the improvements.
Because I've felt so much better walking around, I've also started walking or jogging to different places and just watching things go on around me. Obviously, I wear a face covering when I'm out in public. Sometimes I'll just sit or crouch on a wall or railing and observe. Jumping up onto things isn't a problem at all, it's almost comical how easy it is.