I get lots of emails from students who are about to graduate, asking for advice on how to get started, find work etc. I've written the same email about a hundred times, so I thought I would pop something on my blog.
Write to EVERYONE, send a sample of your portfolio (thumbnails or small images- with some kind of copyright on there)...be creative, not the usual standard CV! I sent off bundles of stuff, and would often only get one or two replies, but one of those replies led to a great job.
Ask for work experience, that's how I got my first job...work for free if you can.
Make your portfolio the best that it can be, so you are really confident when you go for interviews.
If you can get funding, try and exhibit at Print shows/craft shows etc. That's how I met a lot of my customers.
Be assertive and keep trying..unfortunately it can take years to really establish yourself, but you also have to be willing to put the hours in too.
It really is about being in the right place at the right time, but keep being creative and loving what you do.