Welcome to the Apple Community.
To begin with, I would like to try to explain Apple's confusing nomenclature in regard to iCloud.
Apple have called the whole cloud thing iCloud, there are a number of features under the iCloud umbrella, some of which require their own login. iTunes is one of these, another is what Apple have unfortunately also called iCloud too.
You can use the same Apple ID (account) to login to both iCloud and iTunes, but you don't need to and often users will login to each service using a different ID.
The part that you need to remember is that the services available when you log into iCloud are completely different and unrelated to those when you log in to iTunes. Your iCloud login enables mail, contacts, calendars, find my phone, Back to My Mac, Documents & Data sharing and photostream, it does not affect any of your iTunes services.
To avoid confusion when discussing your problem, when I mention iCloud, I am referring to the services under the iCloud login, Whereas I will refer to the whole cloud thing as The Cloud.
From the information that you have given hereinbefore, my advice would be to continue to use your existing account for iTunes, but to create an entirely new account for you to use with iCloud. You can do this on your device by logging out of iCloud in the iCloud settings and using the "create Apple ID" button to create a new account.