<<to try Central Park soon, I just have to figure out the best way to get there without getting hit by a taxi.>>

sounds as if you are on the east side, south of the park: if you go early in the morning, take one of the avenues up, make a left onto 60th and enter the park.

if you really want to avoid traffic, go across to the west side bike path, head north, exit at approx 72 st (just after you pass the tennis courts, or follow the other cyclists.) (caution, steep but very very short hill), up the path within Riverside Park (past the dog run), past the eleanor roosevelt statue. This will be W 72 St and Riverside Dr. Head east on 72nd street till you get to the park. (if this isn't clear, pm me and we can talk by phone)

For your sanity, avoid Central Park at busy times (weekend afternoons in particular!). Also avoid entering at the Columbus Circle entrance which can be wild at times.

Congrats on the road bike!