Hi Peter
Firstly let me say that what follows below may in some sense be little different than the 'Restoring from a backup' option in iTunes. Nevertheless, I believe there are some fundamental differences that worked for my iPad and may help you also.
My procedure was as follows: -
1. Connect iPad to iTunes and ensure that you have transferred purchases including any Apps that were bought on the iPad but which haven't been backed up to your PC or Mac.
2. If you back up photos to iPhoto or elsewhere also do this now. App purchases will be remembered by the App store. For me music is very important so I have Music Match which I will explain later.
2. Disconnect the iPad and go to Settings>General>Reset>Erase All Content and Settings. Confirm your actions and wait for iPad to restart.
3. Connect to iTunes and choose 'Set up as new iPad' once it is recognised.
4. Wait for iPad to restart and apply any updates such as 8.0.2
5. At this point you will want to restore your iPad but, importantly this is a good time to think about the apps that you really didn't use and decide whether you really want to use them on your fresh new installation I chose to use this opportunity to cull quite a bit. You can always restore them later if you so wish.
6. I use Music Match which means that the iPad will immediately remember which music should be in your albums and playlists. If at some time you had large amounts downloaded to the iPad itself these will now have gone but you can restore them at any time. If music is important to you and you have large quantities then Music Match is almost essential. My music collection amounts to some 25 days so I take great care over backup and the use of Music match which ensures I have everything available everywhere.
7. Restore photos from your computer or iCloud if you had them backed up there. Restore music from Music Match or resync with iTunes collection if you have one.
8. Go to Settings>General>Accessibility and turn 'Reduce Motion' ON.
If you are not happy with the results you can simply restore from your backup.
As you can see I did all this using iTunes on a PC but I've also done it on a Mac. I haven't tried with an iPad that is purely backed up to the Cloud. Call me old-fashioned but I like to be absolutely sure I'm not going to lose anything!
Sorry this is so long winded and that it describes my situation. All I can say is that, apart from websites in Safari that have always been glitchy (usually when adverts and countless objects are being loaded in the background) things are pretty good. I use the iPad 2 for playing music through various Airport Express units as well as with Apple TV. I have experienced no drop outs and can still browse for example whilst music is playing. The fresh installation left my iPad 2 more responsive than when I simply updated it.
Hope some of this may help you!