It will be OK. I had three of the four done simultaneously 20 years ago. I don't like needles either, but that wasn't a big issue for me.
My biggest thing is that I do NOT like to be restrained. They were trying to strap me down while I was still awake and I about freaked! I asked them if they were going to knock me out and I just flat out told them to knock me out first!
I had kind of a nasty reaction to the anesthesia. When I woke up, there were four of everything for a while and then I couldn't keep anything down that night. Had to get a script for Compazine. After that, just a little sore for a few days.