Kenny, unfortunately you just won't get a job with a large carrier straight after graduating. BA and Virgin will want you to have at least 3000 hours plus heavy jet experience, unless you're lucky enough to be sponsored by BA (see their cadete sponsorships for that). You'll find that most people after graduating are really hard up. I think most people wait around a year to get a flying job, then that's on a smaller aircraft to gain experience and most importantly hours. Then there's the controversial move of paying for your own type rating and going for Ryanair or Easyjet. I won't go into why that's frowned upon, it'll just get a rubbish debate going that is repeated every other day on this site.
Nathan... if your doubtfull about being a pilot... don't bother
BongleBear... your comment about VA is true.. it is commonly said they want at least 4000 hours.
However why do you say that about BA?
You realise that you can apply for them with minimum hours, they pick the best of people training from various schools.
From 252 who got jobs from OAT last year... 42 went to BA.
They do after all have a short haul fleet
Oh didn't BA stop sponsoring their chaps ages ago.....