Is there anyway to back up my text message conversations on iTunes?

So I'm getting a new iPhone became the one I have no has a broken screen and I wanted to know if it was possible to keep all your like data (I only really care about the texts) and transfer it onto another iPhone. I'm not a very tec savy person so anything helps

When you backup to itunes, it will backup your current iphone including text messages. Then you will just connect your new iphone and it will walk you through the steps to reload the phone.

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