Commute to NYC is great. They have a Park-N-Ride to Port Authority. If you drive to NYC , GSP is very close.
For schools, please refer to http://www.greatschools.net. Depending on the exact address of the house you buy, School will be different, especially the Elementary and Middle.
Let me know If you need any further assistance.
Do you intend to commute by car, or do you want to take the train (the South Amboy station of the North Jersey Coast Line might be a good choice for you; look at the schedules and rates).