All apps are stored on iTunes as well just like music, so if you get a new iPod all the stuff on iTunes will be synced to it, including the apps
for sure, on itunes go to File and select transfer purchases
You buy apps at itunes.
Yes, it doesn't matter what iTunes software you have, you can still download apps from it to download to the iPod Touch.
Yes you can download apps to them from itunes on your computer (then transfer them) or straight to the ipod touch using a wifi connection.
you need an ipod touch or iphone :)
Just use itunes.
Yes you can. Make a back up of the files through iTunes and then on the other ipod perform a restore from backup
Yes. ...That is, assuming that the iTunes account on the computer it's syncing to is the same as the iTunes account that was used to purchase the app from the App Store on the iPod touch.
You can get free apps from iTunes or the App Store.
No... But you can download them from iTunes! And off your iPod Touch.
To add apps to the iPod Touch, you can either download them from the App Store via Wi-Fi on your iPod Touch, or you can sync your iPod Touch with iTunes through your computer.