Are you backing up to Picassa web?
I would imagine you are.
If that's the case I'll say it once again so everyone can read it again.
WebAlbums, it allows you to access Picassa just as you would in Picassa on the PC or on the web. Albums and all. You can upload(many,many at once). There is no better way to go about this. Period.
This is assuming that you're ok using a app to look at your pictures and not the standard photo app.
The nice thing about this is that it is syncing with your Picassa account l, so when you take a bunch of photos; say from a birthday party. Create a folder for it in webAlbums, upload your photos and share the album. All from your phone. When you get home, you can look at them all on your PC.
That's it. No simpler or better way to use Picassa on the iPhone.