Download itunes and back up iphone to new computer...connect iPhone to comp..open itunes, right click on iphone under the library lists (left hand side of itunes), now once you have right clicked you can pick transfer purchased apps or backup. You also might want to uncheck automatically sync device under perferences. This should keep everything from your iphone if you do it right. Sorry if my explanation is hard to read. I'm not the best at explaining things.