Here's an alternative made from fish tank parts....
Go to your local aquarium supply store and buy a couple of directional valves (they only flow in one direction hence the name) in a hose diameter similar to your bleed screws. The valves only cost a couple of dollars apiece.
Remove your bleed screws one at a time and wrap the threads with teflon tape meant for natural gas lines (the yellow stuff. The white stuff can get loose and clog an orifice somewhere. The yellow stuff will not separate). This could be tricky in a system full of fluid. Work fast.
Once the bleed screws are back where they belong, hook up some clear vinyl hose of the appropriate size to each bleed screw with one of the directional valves plumbed into the hose near the caliper/wheel cylinder end. Of course, the valve's flow direction should be towards the catch bottle. You can do one, two or four wheels at a time, depending on how many valves you bought and how many catch bottles you have.
Make sure the catch bottles have an inch of fluid in the bottom. Run your hose end(s) into it/them. I keep some old fluid around for this purpose. So one end of your hose(s) attaches to a bleed screw, runs through a directional valve and into a catch bottle with a little fluid covering the end of the hose.
Crack each bleed screw set up with the apparatus about a quarter turn. I usually start with both rear wheels, then move to the fronts when they're done.
Once everything is set, pump the brake pedal smoothly to the floor. The teflon tape prevents air/fluid leaks through the threads. The directional valve prevents fluid from flowing back towards the caliper/wheel cylinder when the pedal is on the return stroke. Repeat until the fluid runs clean and clear of bubbles. Tap the caliper/wheel cylinder with a small brass hammer and repeat a couple more times if you wish. It's amazing how quickly and easily this setup works. The results are always excellent.