Therecreamed to be some street parking available in the area

Unfortunately not; each tour revolves around a specialized theme and takes you through 1 or 2 of the different apartments. The tour I did was so good though, it makes me want to go back and see something new next time!

We just turned up and booked for the tour we wanted - there are different tours going every 15 minutes or so so we chose the next but one as it seemed (and was) interesting. This was early October on a Monday.

Yes there is a movie. You can really see it before and after. It is pretty good. Also - they mention the Puerto Rican migration in the 40s-50s if you are interested. It is not on the tour.

They have lockers down near the restrooms, but I'm not sure if they're large enough to accommodate a full suitcase. You might want to call them and ask.

The tour was about 1 hour. They also had chairs if you needed to sit down.

More adults, but 12 years old and up might find it interesting. I wouldn’t say good for toddlers or elementary only b/c there is a lot of standing in a small room listening to an educator. Have not done any of the walking tours, so no comment. Hard times tour I think is the most popular and one of the 1st ones created.

Yes, various things are for sale in the shop, i.e. the usual souvenirs but also other more educational things, books, etc. but I haven't personally checked online. I bought a book on the history of the tenement museum, "A Tenement Story", partly because it included pictures, (you can't take pictures in the museum), and partly because it included various stories. I'm sure some of these things would be online and worth buying.

I'ts probably too late for this answer, but you will need more time in between tours. They run at least and hour and you exit the back of the building so you would have to walk around the block to get to the next one in time.

The Tenement Museum is open nearly every day, except for major holidays. Labor Day usually doesn't count as a major holiday, so their web site will likely list open slots available that holiday weekend. Note that this museum is very busy on any holiday weekend they are open, so I'd make reservations early.