Thanks--
1. IS there something that explains what types of roms there are and the differences? like tw vs gn3?
2. How do you know if the the roms are TW or GN3?
3. How do i find the TW roms?
Thanks
TW refers to TouchWiz, which is the user interface that Samsung uses for all its stock versions of Android. GN# refers to the Samsung Galaxy Note 3 phone which is out and already has Kit Kat 4.4 on it. What I am saying is, the GN3 (Galaxy Note 3) is running a TouchWiz ROM (if it is stock of course) becuase Touchwiz only refers to Samsung's overall implementation of Android on Samsung phones.
So unfortunately, there is no way to answer your questions 1 or 2. Now as to where you find TouchWiz based roms, the forums here on XDA are a good start. Make sure what you are looking at is based for our phone (the SGH-T889) and either specifically says TouchWiz or specifically NOT say AOSP based.
One more thing. READ, READ, READ, READ. It seems you may need just a little more understanding to find what you are looking for. Good luck. There are many folks here willing to help.