well the Higgs Field is quite difficult to explain, and i haven't done this for a year, but...
Basically from what I understand, all the elemental particles (i.e. particles that can't be split down any further) don't have mass. The theory is that when these particles interact with the Higgs Field, they are slowed down from the speed of light and as such gain mass from the theory of relativity equation. This causes "existence" as we know it, supposedly. Basically, mass is an effect of the slowing down of elemental particles... at least I think that's what it is. The best way to visualise this is to imagine yourself in a swimming pool. If you stood completely still (i.e. particles inside you not vibrating, temperature at absolute zero) you would cease to exist. Since you are moving inside this field, particles travelling between infinitely small layers of Higgs Bosons (like yourself in comparison to the water molecules in the pool) will have the mass attribute.
If anyone has a better explanation without referring to an outside source, please call bullshit on me and put something better up, but not a massive splurge of scientific jargon, please