The actual replacement of the internal hard disk drive isn't really difficult;
and with an upgrade full install retail Snow Leopard 10.6.3 DVD, the
setup would be as-new; the computer booted from the install DVD is a
direct way to access the Disk Utility on the install disc, and format the
new hard disk drive prior to running the installer section from that DVD.
• MacBook CoreDuo Hard Drive Replacement - iFixit:
https://www.ifixit.com/Guide/MacBook+Core+Duo+Hard+Drive+Replacement/282
• MacBook CoreDuo RAM Replacement - iFixit:
https://www.ifixit.com/Guide/MacBook+Core+Duo+RAM+Replacement/280
The above two sections are from the MacBook CoreDuo iFixit repair guide:
https://www.ifixit.com/Device/MacBook_Core_Duo
With a universal USB drive adapter to handle a bare hard drive, it can
be prepared for installation before the computer is taken apart, and it
also could be tested (to see if the system works, etc) and then the old
hard drive could be left as it is, running 10.5.8; with the new one 10.6.8.
A product such as 'Universal Drive Adapter USB' by newertech is a
fair example of a good item to have. See their instruction .pdf & see
how it works before looking to buy something like this:
https://eshop.macsales.com/item/NewerTech/U3NVSPATA/
NewerTech Universal Drive Adapter Manual (3.3MB PDF)
• Mac OS X 10.6 Snow Leopard - Apple Store online ($20. US)
http://www.apple.com/shop/product/MC573Z/A/mac-os-x-106-snow-leopard
(This item would be the main OS X. Another part is a free download:
Mac OS X 10.6.8 Update Combo v1.1 - info & download for 10.6.
Check for more updates once the Snow Leopard is installed; by use of
Software Update in Apple drop-down menu. The 10.6 does not include
iLife or iWorks applications, as a new Mac has in system software kit.)
There are some kinds of accessory and upgrade parts available from
OWC macsales, that have specs and examples of hardware, also they
have external drives for backup purposes; some for Time Machine and
others that would be good for other backups, clones, & archival use.
https://eshop.macsales.com/shop/powerbook-ibook-macbook/
In any event... think of it as an adventure.
Good luck & happy computing!