Any need to connect iOS device to iTunes?
Yes you are. With iOS 7 Apple really has worked hard to make sure that iDevices were an option for people with no other "regular" computer. You can redownload from Apple and back up pictures to iCloud but be aware that you might want to have the ability to get the pictures off a different way (such as a upgraded Dropbox account with 100 GBs) but otherwise keeping things in e-mails and using applications with online storage you should be totally fine.