I'm not sure how many of them have been causing you problems, but I'll be pleased if iTunes 9.0.3 really does resolve "a problem recognising when iPod is connected" - that's been happening intermittently for some time on my system.
It's not a big deal; after all, it's not like the program is in the habit of crashing when I plug in my iPod. But it is irritating, and I'll be glad to see the back of it.
The other specific fixes are that "iTunes no longer ignores your 'Remember password for purchases' setting" and it "Addresses problems with syncing some Smart Playlists and Podcasts with iPod."
I use my iPod almost exclusively for listening to podcasts and I've never noticed any sync problems. Still, I'd lump both of those issues into the same "irritating but not catastrophic" category as recognising when an iPod's been connected.
So far, I've seen no reports that 9.0.3 introduces anything that's not mentioned in the release notes. Apple has previously used bug fix updates for iTunes to sneak in changes that affect the functionality of the program such as deliberately breaking compatibility with non-Apple devices.
iTunes 9.0.3 is available for Mac OS X (10.4.11 or later) and Windows (XP SP2, Vista, and Windows 7.
If the program is already installed, the easiest way to get the new version is via Software Update (Apple Software Update on Windows).
If you're planning to install or update iTunes on multiple computers, it's probably better to download the installer from Apple's web site.