I have no real needle phobia but in the past I was never very fond of them either, because they felt unpleasant. But with my recent vaccinations I really could not tell when it started or ended. Modern injection needles are a lot smaller than the ones that were used a decade ago.
Some tips:
Try to relax your muscles. Lift your arms and let them fall down again.
Look away is the most solid advice here. Pain from vaccination (at least immediate pain) is mostly in our heads. I hate needles but I always tell about it to the person giving me the shot (or take blood) and look away. If you ever got stung by a bee or got a paper cut, those are probably a thousand times more painful and you don't even see those coming to be prepared.
Some tips:
Try to relax your muscles. Lift your arms and let them fall down again.
Look away.