Hi, Cindy!
I certainly had a "love/hate" relationship with my kids' stroller when they were little! While I disliked hauling that thing around, it was nice to be able to stash all our jackets and bags underneath in the basket. If you find that you still need a stroller (our kids' little legs do get tired after a long day!) you can
rent strollers in any of the theme parks or
Disney Springs.
Your refillable beverage mugs only work at the resorts. Free refills are not available in the theme parks, so simply leave your mugs in your room before heading out for the day. Since you will need to pay for your drinks in the parks, I suggest getting cups of ice water at Quick Service counters. There is no charge, and you can enjoy your ice water then toss out the cup. Hooray - nothing to carry around!
Make sure to enjoy your mugs at the resorts with sodas, coffee, tea, or hot chocolate. I enjoy sitting pool side with a refreshing beverage in the middle of the day. It is such a nice break from being in the theme parks all day.
Wishing you a magical vacation in
Walt Disney World!
Cathy