ZOB Controller described near loss of separation event when completing two separation deconfliction actions which in turn resulted in another potential conflict with another aircraft.

Narrative

I was working the sector with just some light to moderate traffic. I had a Toronto departure being pointed out to me climbing to FL360. I asked to keep him climbing but that I would talk to him because of my traffic. I also had a JFK lander climbing to FL330 going east bound. The sector that owns FL350 and above that site above me called and asked me to turn traffic 15 degrees right for the climb. Knowing that this was going to turn him into my aircraft; I told him that I would have to stop the aircraft at FL320. This is where my mistake occurred. Being that I had to stop the aircraft for my own traffic I in-turn did not need to turn him 15 degrees right; but I did anyway. This put him into a 120 knot headwind; which slowed down his speed; which then made him traffic with my JFK lander. I had to turn each 30 degrees right which gave me my minimum separation. Recommendation; I should have just stopped the guy at FL310 and left him on course. I made the session way more complex than it needed to be by trying to be too accommodating instead of just taking care of the basics.