"....or would it be a case of accept anything for a few years...."
Not the wisest way of putting things. You won't have a vast amount of pilot experience when you finish your course, but oodles of airmanship etc; hence it is unlikely that you'll be able to step straight in to an A330! You should look for a job which will give you experience on modern high performance turboprops, in my view. This will allow you to gain experience in airline operations and give you a reasonable amount of hand-on-pole time, whilst still building 'glass cockpit' experience without the risk of getting behind the ac and ATC.
I would recommend trying for an operator such as flybe which is expanding significantly and is acquiring the latest Q400 in large numbers. They are more interested in people with a passion for flying than those with all the ticks but an "It's only a job" attitude...