Should I tell Verizon that my iPhone is jailbroken whenI go to upgrade my phone?

I'm going to upgrade my iPhone 4 soon and it's jailbroken. I'm going to be giving my mom the iPhone 4 that I have, and will be getting a 5. My only question is, will they be able to transfer my contacts and stuff even though it's jailbroken? Should I tell them? I have winterboard and cydia apps hidden, so they couldn't tell by looking, won't they restore it after transfering my contacts and giving it to my mom? Should I restore it before I go into the store and get a new one?

Go to radioshack… The iphone 5 is on sale there
and they don't care if your iphone is jailbroken or not thats apples problem not verizons

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