Yes
Yes, strollers are permitted! There is also a wheelchair accessible entrance.. There is also a wheelchair accessible entrance, in the back of the museum, if anyone needs to use it, if you can't locate it, go into the front entrance of the museum, and ask the person at the front desk where you pay admission, they can tell you where the wheelchair accessible entrance is located.
Yes a stroller can go in there you just might have to pick it up at times
There are steps that go up to view movies
There are some steps, but I don't why it wouldn't be!
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