Are baby strollers allowed in New York City Musuems? The answer can be tricky. While many allow strollers, some have limitations on where you can bring your stroller, or the type of stroller you can bring. Once you've wrangled your stroller through the subway, you hardly want to arrive only to be turned away, so we've compiled a list of popular museums and their stroller policies. However, calling ahead is always a good idea since rules change or you can find out if any current exhibits are off-limits.