Today, I had the pleasure of crashing a training on web mapping that Azavea put on for its Summer of Maps fellows. The most immediately practical thing I learned was from Tyler Dahlberg's presentation on web mapping for no money. It involved a combination of QGIS, Leaflet, and Github. It was pretty straightforward, so I'm hoping I'll have some snazzy maps to post on here soon.
(Thanks to Sarah for organizing the workshop and Dawn for letting me know about it, too!)