Thanks for your thoughts, folks!

The jQuery
documentation in fact looks very detailed and not as developer orientated as others. That would be the most important thing to me. And given your experience I will definitely try this first. I had also looked at MooTools before, and found this nice introduction:
http://beautyindesign.com/tutorial/increasing_user_experience_with_javascript.php, but it seems that some parts of it are deprecated and I have my difficulties with the mootorial.
YUI on the other hand seemed promising to me, not only because of the condensed documentation, but also because it seems to have good solutions for
image loading and user management - and of course there`s plenty of videos to check out. Does anybody have experience with this?
Some of the other UIs however seem to be very focused on company needs like collective working with sortable tables and other stuff.
What is your
favorite use for the libraries, and does it give your sites a competitive edge over others or do you think it is not really worth the effort?
Greets, Alex