If you can carry it you can bring it. Some exhibits you may not be able to enter 2 out of 3 virtual reality coasters. Rest of the museum should be no problem.
You can bring them, as the other commenter stated, Fort Lauderdale in while is very accommodating to travelers.
I've been with very young children whoe parents have strollers and baby bags and they are allowed to bring them into the museum without an issue.
They are very accommodating so I wouldn't expect them not to put your bag away during your visit
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