I agree with the Mity Vac. I finally broke down last weekend and bought one. It makes this job much easier and does a better job. Auto Zone has them for around 25.00.
I lost my Mitey Vac in my most recent divoce ( amongst a bunch of other things ). What works just as well, and costs only 2.00 is to take a 3 ft. length of clear plastic hose. Coil it up and use your own god- given suction to draw the fluid. Works just as well as the Mitey Vac but not as pretty.
If you don't like the taste of brake fluid, go down to Tractor Supply and buy a big 60cc shringe (from the vet suppy aisle) and use it instead of your mouth. That little hose that slips over the bleader fits the shringe too.