Contact a recruiter and see if they have any positions for you. This works best in large-ish cities. If not then you will have to get lucky. Frequent coffee shops and talk to anyone working on their laptop. Good web developers are tough to find so chances are if someone has an opening they’ll take a chance on you and you can get your foot in the door.
Take the first job that comes your way and work there for at least six months, preferably a year. Then start contacting recruiters. They will take you a lot more seriously with professional experience under your belt.