I use Picasa to manage the pictures on my computer. I have recently started uploading them to picasaweb as well, in light of Google’s offer of 20GB for $5/year. I won’t be renewing my Flickr Pro account because of Google’s offer.
Since I don’t want all of my pictures viewable online but I do want an backup of them, I still upload pictures to my Facebook account. I found a button that you can add to your Picasa toolbar that will upload the picture(s) directly to Facebook.
Give it a try, it’s very nice!