Ios 7 and my older mac products

I have an iPhone 4 and the white macbook from 2009. My macbook currently operates under10.5.8, and tells me that there are no updates available. My iTunes is version 10.6.3, and tells me that there are no updates for that either. However, I've updated my iphone 4 to ios7 over the weekend, and now it tells me that my iTunes is too old to sync, basically. My mac products, specifically the laptop, from its brand new purchase in 2009, run perfectly fine to this day which is my reason for having such older versions… But I really am gonna need to be syncing my phone! So can anyone please help.

System Requirements
Apple ID (required for some features)
Internet access
Syncing with iTunes on a Mac or PC requires:
->>> Mac: OS X v10.6.8 or later <<<-
PC: Windows 8; Windows 7; Windows Vista; or Windows XP Home or Professional with Service Pack 3 or later
iTunes 11.1 or later (free download from www.apple.com/itunes/downloadAFTER upgrading to OS 10.6.8)

To upgrade your computer, buy this-> http://store.apple.com/...ow-leopard (OS 10.6 DVD US$19.99), install, and then use Software Update to get all free updates.