Yes and no. There a tons of iPod Touch games to choose from in the iTunes store, some of them are free and some are pay. Be carefull of downloading the 'free' version of a pay game though, as these ones are typically just a trial and will get you hooked. ;P
The only costs for apps is when you first purchase one in the app store, or none at all if they were free. However inside the app there might be costs like "purchase ____ for $0.99!" in which that would be a cost, but other than that. no.
if you want to
No it costs nothing for FREE apps on your ipod touch.
You need an internet connection to get apps for your iPod Touch, whether it is downloading them directly to the iPod Touch or it is using iTunes through a computer.
iPod Touch, iPhone, and iPad can run apps by buying an app, then syncing.
Yes
Just Google Top iPod touch apps
You can store 144 apps on an Ipod touch.
Only the iPod Touch will run apps. The iPod Nano will not run apps.
Yes. I jailbroke my iPod touch using green pois0n RC6 and all of my apps stayed on my iPod.
No, apps are not only for the iPod Touch. Apps were actually made for the iPhone, but they have made most to work with the iPod Touch, too. Apps are only made for the iPod Touch (all generations) and the iPhone (all generations). Apps are made for Ipads to
No, an iPod Nano cannot have apps. Only the iPhone and iPod Touch can have apps.
No, you do not pay a monthly bill for iPod Touch apps.
no, you can't, but you CAN put ipod touch/iphone apps on your ipad