How soon did you start sending out resumes?

I don't want to be too premature about this, (ie. called for an interview when I am ready to pop) but I also know it can sometimes take WEEKS for places to call you in for an interview. I am due 12/30.

I am also thinking maybe to just send resumes out right after Chat Icon is born, return to my current job for a bit THEN find something new in case having a baby then starting a completely NEW job could be TOO much change. Thoughts?