High fever after 4 month vaccines- what is normal?

Alexa • Micah Tyler born 08/31/17 💙
My son had his 4 month shots over 24 hours ago, he ran a fever of 101-102 all night and he's slept pretty well and is eating normally and just acting like he doesn't feel very good but otherwise normal. He's fluctuating between 99 and 102.6 though. Should I try tylenol and if it doesn't reduce his fever tonight take him to the hospital just to make sure it's not the start of an illness? I've heard him cough a couple times but it doesn't seem like a sick cough.