I had a really nice time at Sylwia's. The room was really big and I had everything I needed. Especially the airco which was necessary those days. The first day I was fetched from the airport by Sylwia. The following days there was no need for any help but Sylwia assured to be always there for me. The house is in Jersey City, quite near to the liberty state park. In order to get to Manhattan you either have to take a bus and two trains or like I did walk for around 20min to the last of the two mentioned trains. But there is definitely a more comfortable way for those who want it that way.
In summary I had a nice stay in Jersey City and enjoyed the stay.