At this moment you can't jailbreak the dsi. Refer to dsibrew.org for updates on it though.
you cant. Whoever told you that is lying.
You do not Jailbreak iTunes; you jailbreak iPods and iPhones.
You jailbreak the firmware.
Updating the iPod Touch software erases the jailbreak. You can update, but it will erase your jailbreak.
Yes you can. there is a new jailbreak out called "spirit". Google it "spirit jailbreak"
No. Your jailbreak will remain as it is. Syncing your iPod does not alter the jailbreak in any way.
You can't jailbreak it!
You can get an untethered jailbreak with absinthe.
Do what you originally did to jailbreak it in the first place.
you can not jailbreak an xbox 360
How to jailbreak my iPod touch