iPod touch Can purchased apps be shared among iPods?

You could sync the apps from iTunes onto your Touch.

To the best of my knowledge as long as the new Touch is linked\synced to the same iTunes account that the apps were purchased from then it should not be a problem.

If you create a new iTunes account then the apps will need to be repurchased.

The apps are dedicated to an iTunes account, not a particular computer or iPod. They'll run on any capable iPod that's synced to any computer that's authorized on the account. You can authorize up to 5 computers on an account, and I think you can sync an unlimited number of iPods with a given computer. If both your iPods will be synced with the same computer you'll have no problem, and if they're synced to different computers that are both on the same account you'll just need to get the apps on the second computer. You may be able to copy them, or once the other computer is authorized on the account you should be able to redownload them for free from the ITMS.