My fiance and I are planning a few day trips before the baby arrives. I would like to spend a day in NYC but I'm over going down and sticking around times square the whole time. Any suggestions for new and inexpensive things to do there? We have been to the MET and he wont be amused with most museums, unless there happens to be a really great car museum

Thanks for any advice!
Re: "babymoon" NYC...Things to do?
Eat at Eataly! It's sooooooooooo good. Right next to the Flatiron Building which has little cafe chairs outside, so take your meal outside and enjoy the fab vies.
Also, walk along the High Line and check out Chelsea. Cute area, great views.
I agree with the High Line... I did that this summer and it was really cool! They have all these really cool food trucks at the beginning to so you can sit outside and eat before you go up! We are also thinking about NYC I think its the perfect place! there are really a million things you can do! You can also consider a show you can get half price tickets the day of or there is always the empire state building! I don't remember it being that expensive!
I don't know if you're a Jimmy Fallon fan, but I personally plan to get tickets to a taping of his the next time I'm in NYC. He's hilarious! (Tickets are free and I think you go there at like 10am or something).
What about a Broadway show?
I like Bleeker Street and all the cute shops and restaurants down there.
BFP#1: 11/20/11, EDD 7/25/12, Emily Iris arrived 7/29/12 at 7 lb., 3.5 oz.
BFP#2: 8/25/13, EDD 5/4/14, MMC confirmed on 9/23/13, D&C on 9/26/13
BFP#3: 2/3/14, EDD 10/15/14, fraternal TWINS confirmed 2/21/14, two BOYS confirmed on 4/15/14!
I loved lower Manhattan. Bleeker street is worth a walk.And when your feet are tired you can wander into Magnolia bakery at 401 Bleeker.
Also, if your prego self is up for it, I absolutely loved walking over the Brooklyn Bridge. I walked it in the daytime and after sunset. Wonderful way to see the city. And just over the bridge is Brooklyn Heights and Dumbo, both of which are really cool neighborhoods in Brooklyn. And if you're really adventurous, take a cab to Red Hook and go to Baked (I used to be a pastry chef! Hence the obsession with bakeries). I think that was my favorite part of the trip. The sweet and salty cake is almost the best thing I have ever had.
I also loved walking around Washington Square Park. There are some awesome vintage shops along the side streets near there. I got a great purse from the 50s.
Also, I really enjoyed the Staten Island Ferry. It's free and easier to get on than the Ellis Island tour which is booked months in advance. It's another great way to see the city.
here's my pinterest link to my favorite restaurants here. eat up!
https://pinterest.com/mamanikita/favorite-restaurants/
if you're looking for a nice walk, start at the world financial center and walk south down to battery park along the water. great views of the statue of liberty, and the new 9/11 memorial is in the area too, if that's something you want to see. south street seaport is downtown as well - it's kind of touristy as well, but there's a nice outdoor beer garden with a firepit outside right at the base of the bridge if the weather is nice.