Transferring Contacts from one iphone to another iphone?

So I still have the 3GS. I know!
Well it recently stopped working, but I just placed my sim card in my mom's old iPhone 3GS.

I want to know how to move all my contacts, apps, and pics from my old iPhone to my current one (my moms) Although I want to try and not delete any of my moms stuff on here either. I have tried EVERYTHING icloud, itunes and nothing is working.

I don't know if its because when it shows up on the computer its under my moms name or what?

Update to the latest version of iOS. It should be 6.1. Goto Settings>iCloud>Enter your account. Then turn Contacts to ON. To get your apps goto App Store>Updates>Purchased>Not on This iPhone

You can easily sync them with home sharing

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