Congratulations on your first write, Chris! Welcome to the world of writers.
The best advice I can give you for getting your articles published is to look for leading sites in the web development industry that allow authors to publish articles. I could tell you who those are in the SEO world but not web design.
Many of those industry authority sites are constantly looking for good content to add to their already vast set of resources.
My first publishing break came when I met Robert Clough of Search Engine Guide
(online, not in person yet) and discovered we have a lot in common. He published my first article (other than my own site) and from there I have found a variety of places to distribute articles. The one I am most proud of to date is A Web Directory that Helps You Do, Not Find
which was published on SearchDay, one of the leading resources on the SEO/SEM industry. I have to give most of the credit of that fine interview to Mordechai himself (owner of Gimpsy) who did an excellent job answering and adding to my simple list of questions.
BTW - I can see that you are showing up more of yourself all the time in your avatar (if that is really you)!