Will my messages from my old phone transfer to my iPhone?

My new iPhone has my sister's number, and then we're switching numbers between the phones. (We got a new line but they added my sister's number onto my phone, and then we're going to switch because she will use a hand-me-down phone from one of my parents or my sister or me.) But when I switch the numbers between the two phones, will that transfer messages too?

Yeah, it is easy for us to transfer old iphone to new iphone. We can use the iphone to computer transfer software to transfer iphone contents to computer and then sync computer to your new iphone via iTunes.

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http://www.amacsoft.com/ipad-iphone-ipod-to-computer-transfer/guide.html