I've screen printed in the past and I never found it as easy as it looks! It takes practice, space and patience. The video shows the basic method and is how I would recommend going about it.
I would also recommend a starter kit from Dick Blick or Dharma Trading.
Just a warning...ProvoCraft makes a product called the Yudu, which is basically an all in one screen printing "machine". I have owned it and sold it as it NEVER produced good, consistent results. It may have just been me getting fed up and not practicing, but I found it to be a total waste of money.
I did a little blog post about sourcing screen printing supplies and the Yudu if you're interested:
http://anothercraftyday.blogspot.com/2011/02/yudu-truth-provo-craft-did-not-invent.htmlHope you find it helpful and happy printing!