You're not allowed to take photos inside the Mansion, but you're free to take photos of the exterior and the grounds. There was no fee when I went there. I've seen some photos of the inside, so I guess some people break the rules (tsk, tsk!).

Thank you for your question! Yes, you can bring the stroller into the Museums and the Planetarium. However, please be aware that the stroller cannot go inside the theater with you if you choose to see a planetarium show. Fire safety laws prohibit it. Unfortunately, the stroller cannot be taken on a tour of the Mansion either, as there are several flights of stairs the tour must climb and descend. We do not recommend the Mansion tour for young children. However, you are free to bring the stroller with you into all of the other museums, including the Memorial Wing, the Marine Museum, the Nursery Wing, and the Habitat and Stoll Wing. If you have any other questions, please feel free to contact us by phone or email.

Yes you can

Usually the shows last about an hour....for time schedules, I would recommend that you visit their website..{.I installed the website link but posting guidelines prevent me from doing so when I clicked answer } ...once you are on their site, click the Planetarium link, then show schedule for details....

No u can’t but I would ask there are exceptions

About 45 minutes- 1 hour. But you can tour the grounds at you leisure. And there is a planetarium and a small natural history museum also.

Hi. No you may not take any photos inside the mansion. I was told that the flash from your camera or phone , over time will harm the items inside the mansion. However outside you may take as many photos as you wish.