To "bleed the line" I just sucked some solution into the syringe, then held the line up so I could get all of the air out of the syringe and airline, then filled up the syringe. I am using thinner airline, the capillary tension holds the liquid inside, it doesn't drip out of it all by itself.
Once the syringes are assembled, I rotate the drywall anchor until they are under slight pressure. Might take a day or two until they actually start dosing. When the whole thing is assembled, it is pretty impossible to turn the timer wheel.