Sonder at Battery park is completely worth it. Easy to find, friendly staff, clean apartment, and well-equipped.
The place is 5 min walk to the red and green subway line, so is perfect for tourists. About 10 min walk to the 9-11 memorial and around a 20-25 min walk to Brooklyn bridge, passing through the financial district that looks the same as in movies or TV shows.
If you need groceries, you have places near around to buy them. Sonder constantly provided coffee, coffee cream, tea, linen exchange, toilet paper, and much more stuff for free to their guests so you don't even have to think about buying those commodities.
For anything you need, you have Sonder App and somebody always helps you by using customer online chat.
My final recommendation is if you are looking for cheaper places to stay, you will find them, but you are taking the risk. If you want to play it safe even if it's a little expensive, Sonder is your place. You won't regret it.