Replacing iPhone and need to put contacts, pictures, txt SMS and apps on new phone

[Foxtrot01]

My less than a yEar old 3gs is having problems with the silent button when I switch it to silent it starts switching back and forth so it vibrates every once in. While until it drains the battery, it's under warranty so I am not sure if they will fix it or they will replace it, if I get a replacement how do I transfer a the contacts, pictures, apps, text and mms to the new phone. Thanks

 

[-aggie-]

Here's the latest thread on doing this:

https://forums.macrumors.com/threads/864423/

There are many others (search on transfer iphone computer).