New Imac want to transfer my data (not songs) from IPAD/IPHONE

I was recently in an Apple approved retailer from whom I have ordered my new 2013 iMAC 27. I asked how I could ensure that my IPAD (first generation) and IPHone 4 could be backed up to the new compurter without losing my data. I do not want my data on the cloud and I am trying to do a new install with as few caary-overs as possibe.

 

I ma on an old IMAC 24 running Leopard.

 

I know how to move my Itunes library.

 

The shop said simply put your back-up in the right location in the Library and do a restore from back-up and all will be well. Does this work?

 

Any advice would be appreciated.

 

Thanks

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