Checked the site and they have very sketchy info, with the female
threads it might be a 510 or 4081, but it's only a guess. Their prices were of the sort usually found at overpriced "re-branders", they take a model and put it in a fancy box, advertise a bunch and sell them for twice what they're worth.
What's unusual is that it appears to come with cartomizers (a 2-piece e-cig) and 510 and 4081 tend to be 3-piece models????
Your best bet might be to find a good 510 or ego kit, and if necessary an adapter to use your cartos (assuming you have leftovers).
Stick around and there may be someone who has had a "Breathe Fresh" and can shed some more light on the subject.