3 month old and covid omg help

I thought I had a cold but turns out it's covid my 3 month old is sick too and I feel so bad he's so hot has a runny nose and he moans in pain idk what to do I gave him Tylenol I checked his temp and he doesn't have a fever. Should I take him to the hospital he looks like he's in pain he literally moans and groans and cries has anyone had a newborn like this with covid before please tell me what helps and how long does it take to get better? I'm vaccinated and have never had it before