Thanks Iphi!
Thing is, I went straight from undergrad to MA, and then straight to Ph.D. - virtually non-stop. I should have taken a year off between MA and Ph.D., but didn't have a chance to do that. And, I kind of drifted into PhD, not gone for it because it was something I really wanted.
Now that I took some time off, regrouped, worked, I could think straight and decide that PhD is something that I want to do. And, I have strength and energy to find motivating topic. That's what I meant by burnt out.
When I contacted faculty members I'm interested in working with, I mentioned these reasons (not family reason, because I thought it's personal). I didn't get any negative reaction. Would it be strange if I write about family reasons in SoP when I already mentioned other reasons in email correspondence?