A lot depends on whether the airport is open 24 hrs, in which case several of those "days" will be night duties. A typical shift pattern at a major ATC unit will go something like: 2 x mornings (say 0700-1400), 2 x afternoons (say 1400-2200) a 2 nights from 2200-0700. Then you would get the rest of the day off after that night duty, plus 3 days off. I loved it, but I did have a wife at home taking care of our sons.
I worked with plenty of "working mums", some of whom had husbands doing ATC work too.
One important thing - at NATS ATC Units, ATSAs (new term for ATCA) have responsible, well-paid jobs whereas at some smaller non-State places the ATSA may be a general dogsbody doing anything from answering the phones to making tea so make sure you know what you're letting yourself in for!