What can I do to prevent my 3 month old from getting hand foot mouth disease from his daycare center there is an outbreak there?

Keep him home... He may have contracted the virus already..The incubation period is about 3-7 days (time from contact to development of disease). So, if he has been home for past week without the fever/rashes etc..Likely he does not have it. It is usually mild and often resolved in 7-10 days. If you dont want him to get it, keep him home until outbreak is over..Consult your doc..Good luck..