You could look at upgrading your machine.
Do you currently have the 10.5.8 Combo update loaded? (if not download and apply the Mac OS X 10.5.8 Combo Update )
First, check that your machine is suitable for Snow Leopard. It needs to be a Mac computer with an Intel Core 2 Duo processor. Check by reading the specs.
Mac OS X v10.6 Snow Leopard -Read the Technical Specifications
Snow Leopard is a paid upgrade by DVD not a download. To buy the DVD, if you are from the USA go to … http://store.apple.com/us/product/MC573/mac-os-x-106-snow-leopard.
In Europe or otherwise substitute your national code in place of /us above.
In UK go to Apple Store UK Mac OS X 10.6 Snow Leopard - Apple Store (UK)
Before you start upgrading, back up your files. If you are unsure how best to do this, the following link is hugely informative. Most commonly used backup methods: Apple Support Communities.
Once you have upgraded to Snow Leopard, if your upgrade took you to 10.6.3 you will need to download and apply the Combo updater. Mac OS X 10.6.8 Update Combo v1.1 and follow with software updates to pick up the most recent security and iTunes updates.