Hello, Giria!
I usually recommend the
Baby Care Centers at
Walt Disney World, because they are an awesome place to give your baby a break. With all sorts of baby essentials, it's a great stop.
In your case, however, I'm not certain this is the most comfortable place for your little guy. You are more than welcome to try if you need a quick spot to go, but having just visited with my six month old grandson, I can tell you that the Baby Care Centers are not the quietest places in the park. Each time we visited, the center was packed with babies and young children. With televisions playing cartoons and kids waiting for baby siblings to have diapers changed or be fed, it was quite noisy.
If you are a
Disney Vacation Club member, there is an awesome
DVC Member Lounge at Epcot. You'll just show your DVC membership card and photo ID, and you can take a break there. It's usually quiet, they have complimentary soft drinks, and there are charging stations and tables to charge devices or play Legos.
Also, there are quiet places in some of the restaurants, especially during off peak meal times. We spent about an hour while my grandbaby napped at the Electric Umbrella one morning before they began serving food, and upstairs at Columbia Harbor House is often fairly quiet.
You can always find a quiet corner in which to read a book. Keep your eyes peeled!
I'm not saying the baby care centers won't work, just give them a test run before you really need them to make sure they'll work.
Happy travels, Giria!
Anna