Head to the auto parts store and pick up a vacuum brake bleeder. If you're going to do brake jobs yourself, this will be the best $30 you ever spent. This will allow you to put vacuum to the bleeder on the caliper and suck the fluid down through the lines.
I have to agree. I bought a plastic Mityvac bleeder kit at an auto parts store for around $20. I've had it almost eight years and I don't know what I'd so without it. It makes replacing the brake fluid a five minute job on the front brakes and a three minute job on the rear. Worth its weight in gold!