There is a huge number of web programming jobs out there, and so would be easy to get into. Figure out a back-end language and web framework you like - I'd rec

There is a huge number of web programming jobs out there, and so would be easy to get into. Figure out a back-end language and web framework you like - I'd recommend Python+Django or Ruby+Rails - and build a web app in it - if you spend a few months and put in a few hundred commits and build a large enough application, you're good to participate in a team and start adding good value. That by very definition should land you a full-time programming position.