I haven't been able to open my "new-style" squeeze filter - it looks like it should unscrew, but when it didn't come apart with the same effort as, say, the Miniworks or Hyperflow, I was reluctant to apply additional torque for fear of breaking it.

To dry it after flushing it with the bleach mixture, I take the backflush syringe, fill it with air instead of water, and blow the air backward through it. I repeat until water is no longer coming out the "dirty" end.