Disney+fanny pack=no problem
Be aware, however, that if you go to Universal, it will be. For some reason, they won't let you take fanny packs, back packs, purses, anything, on several rides, and some of the rules don't make much sense. It does make sense (sort of) on Hulk and DD, since you go upside down, but you also can't take it on Mummy or MIB, which doesn't even go very fast and is really just a souped up Buzz. You can, however, take your things on Jurassic Park, with a big drop and a big possibility of getting wet. They have lockers near the attractions in question, and the first hour is free. We always go when it is not crowded, but in the summer, you might have to pay to get you bag out of hock. Not sure how that works since all your money will be locked up.