Recycling is run by Somerset County. Somerset County has a first Saturday of the month drop off event, however, Hillsborough Township does not provide containers for residents to bring home recycling to. They can either take to the county or put out on their next scheduled recycle day. For more information see the above link or call Somerset County Recycling at 732-469-3363.
The Somerset County recycling schedule for 2016 can be viewed here: http://www.co.somerset.nj.us/home/showdocument?id=5241