Why are you scared? Because of fearmongering articles pointing out "possibilities" or one woman in Florida who had a problem? Because you listened to some anonymous frogposter on a Bengali watercolor forum? It's like seeing news articles about plane crashes and being afraid to fly - the fact that there are thousands of flights every day and we still can point out each and every crash that happens means the actual risk is insanely low.
The truth is, when we freak out because a handful of people have a problem - out of hundreds of millions of people - it means you're going to be alright. It means the risk is so low that even a single case is newsworthy. It also means everybody is so hypervigilant, we're finding things that are rarer than needles in a haystack.
Of course you're scared. It's something new and unknown to you, and humans got where we are by being wary of the unknown. But these vaccines are the most scrutinized thing in our lives, with the entire world staring at them and watching everything happening with them. The worst we've found is some borderline incomprehensible ramblings from /pol/, and a dozen Stacies on birth control getting blood clots. I was fine, everyone you know was fine, everyone you've met was fine, and you'll be fine too.