Hi, Sarah!
Congrats on being a new mommy! And, WOW, that is dedication to keep up with your jogging schedule even when on vacation!
While there are some
child care services available, in-room services are for little ones 6 months old or older. There are also
Children's Activity Centers, but these are for youngsters starting at age 3.
As far as bringing your baby to the gym with you, you would need to inquire directly with the gym you plan to attend to see what their specific rules are. If you still want to go for a jog outside, perhaps you can consider bringing a jogging stroller from home. This will allow you to get in your run and also have a great stroller to take your little one to the parks with you.
Since you are new mom, I want to make sure you know about the awesome
Baby Care Centers in the parks. These are so wonderful for feeding and changing your baby. I liked that the Baby Card Centers are clean, air conditioned, and have everything a mom needs to take care of a darling little baby.
Wishing you a magical visit to Walt Disney World!
Cathy