I had no problems with the Upgrade. People who have problems with just upgrading usually have system modifications installed that don't work with Yosemite.
If you install anything with an installer, you need to check for updates prior to upgrading your OS. If there aren't any updates available, you need to be prepared to uninstall that system mod if you run into problems.
Depending on how much junk you install on your Mac, erasing and installing might just be the best solution over updating the system mods.
To erase and install, you will need to boot into Recovery and erase the hard drive using Disk Utility. Then, Quit DU and reinstall the OS.
That will install Mavericks (10.8.5).
Note that things like iPhoto, iMovie, etc. are not part of the OS. You will need to either re-download them from the App Store or install from the DVDs that came with your Mac.
When the Setup Assistant runs during first boot, choose to Migrate from your Time Machine backup. https://support.apple.com/en-us/HT204350