Do you know of any sources on the web that will help me learn Greek?

Greek Lessons
The best Greek lessons I have found on the web are to be found at http://kypros.org/Greek/ - All 105 of them! You will need "Real Audio" installed to listen to them. The accompanying documentation is excellent.

Writing Practice
As for handwriting, check out:-
http://www.greece.org/gr-lessons/gr-english/Gif/script.gif - The home page is http://www.greece.org/gr-lessons/gr-english/.

Check out our HOWTO document on learning Greek for more comprehensive info by clicking HERE.