If you go down the pipe and syringe route, would it not be possible just to inject fluid through the bleed nipple all the way up to the master cylinder or did I just mis read the above post and its already been said.
If you don't go down the syringe route, it will take ages to bleed them, but persevere and you will get it done eventually. When doing it this way, a top tip is to get as much fluid in the system and then leave the bike over night with a cable tie around the brake lever and throttle, pulling the lever back to the bars. When you go back to the job, try also tapping the brake lines from bottom to top, to allow air to bubble up.
Incidentally, as far as I'm aware you can purchase large syringes from most chemists.
Hope this helps