Most of what I have read says to put significant time between the anti's and the probiotics. This can be challenging with taking anti's 3 times a day. Some also say to complete the anti's then begin rebuilding with probiotics. It appears that for this cleanse, this will have to be my method. I'm using Grapefruit-Seed-Extract in a fairly high dose, and I don't want to waste my probiotics.
Advice will vary. Some will insist that certain anti's don't affect good flora, which they may not. Others claim that the yeast feed off of the good flora, not too sure about that one. Either way, you will have to make a call on the matter based on your personal judgement and experience.