Real life answer here ...
2 miles each way ... that's walking distance ... if you're out of shape it's 30 minutes each way. If you're in decent shape it's 20 to 25 minutes.
A bike won't save much time at all (might break even with locking/unlocking/etc...) and most likely will get stolen unless it's a beat up European style city bike.
If you're not in good shape, I would good some good shoes, a good backpack and a few umbrellas (that's probably almost $200) and walk until I was in good shape (6 months max at 25 miles / week).
Then I would buy one of city bike and not a road bike (GIANT Globe, Uptown, etc...) so that you can carry a lady on the back.
Walk and save the money for entertaining ladies
