illinois state website has quick links to various recyling places, that can or can not accept tires. a quick google search for your state for "tire recycle NJ" should bring up companies that handle tires.
you might try just contacting local auto repair shop. and see if they will take them. (might be a shorter distance between you and were ever)
i would caution trying to cut tires up. they can have "metal bands" in them and when you cut through one, they may wip out and take a finger with them.
there are normally "junkers" that list there selves on "craigslist" for metal, appliances, old cars, etc... you might try contacting some of them, and see what they may charge to take the tires for you and haul them away.
myself have used old tires, to help deal with ugly wash outs. that happen around here on the farm. and use them as a way to try and keep erosion down to a min.
but if you just got a farmstead if following things correctly. a old full size truck, and trailer. would be on the upper todo list. if you do not have cash for them now.... i am not a large fan of tires setting outside were they can collect water in them. (breading ground for bugs) and until you get a old truck and trailer, drill some holes in the tires. so they can not collect water. and stack them some place. preferably some place were other folks can not see. EPA and HOAs and other noisy folks out there....