Oh yes, I forgot about the E or the F. This would be another way to get there from Manhattan or other boroughs and take the same bus as from the 7 train but it is approaching from the opposite direction. I personally don't know much about the E train since they split it off from F years ago so if anyone else knows where to get off the E train to get to Sutphin Blvd, I know the Q44 going towards the Bronx Zoo STARTS right there at the corner of Sutphin Blvd and Archer Avenue, right outside the Jamaica LIRR Station (Duh....ONE CAN TAKE THE LIRR FROM PENN STATION TO JAMAICA STATION TOO OF COURSE!).
The Q44 going toward the Bronx Zoo will take one right up Sutphin Blvd, turn on Jamaica Avenue for 3 blocks or so, turn up onto 150th Street to the top of the hill which is Grand Central Parkway (Northern Parkway to Long Islanders). At that point the bus will go around in a U to go over the parkway overpass and turn onto Main Street. Then it's just a few blocks from there. I would estimate the bus ride from the LIRR/E train to be about 25 minutes or so....haven't rode it in years but that's my guess.
If coming on the F train you go towards Queens, then you take it to the Sutphin Blvd stop. Go upstairs and catch the Q44 city bus going towards The Bronx Zoo. You can catch it on the corner right where you come up.....Sutphin Blvd and Jamaica Avenue. It will take the same route described right above.