I would like all photos taken with the camera on my iPhone automatically synced to a private picasa web album.
What's the best way to do this? (jailbroken/cydia solutions if avail would work as well)
You can sync using iTunes' "Photo" tab, that would be two-way but isn't Picasa like you asked for. But if you set Picasa to scan that folder, then you'd have it.
Otherwise you could download photos from your phone to Picasa, but it's one-way only: