Hi, Dennis! Thanks for stopping by the Disney Parks Moms Panel and asking your question!
Staying hydrated at the parks is an absolute must, especially when temperatures soar into the 90s and 100s like they did a few weeks ago. The water bottles you described are absolutely allowed in the parks, so feel free to bring it with you. In fact, I just returned from a Disney vacation where we brought similar-type water bottles into the park every day. At one security check point, we were asked to remove the cap so the security guard could look inside since the bottle wasn't translucent, but that was no big deal at all. According to the
Park Rules, the only type of container not permitted would be anything made of glass.
There are lots of
drinking fountains throughout the parks to refill your water bottle, or you can ask for a free cup of ice water from any quick service dining location.
I hope this helps and I hope your visit to the Happiest Place on Earth is full of magic and memories!
-Linda M.