Hi, V. -
I was diagnosed with strabismus when I was about 5. I was having lots of headaches while reading and I had 2 lazy eyes that would either turn in or turn out, depending on how tired I was.
At the time I was diagnosed, in the early 70s, I was apparently at the top of the age range for whom they could do anything about it, so they felt lucky they caught it then. I had surgery to correct the problem, and my eyes have been nicely in line ever since - no wandering, no fatigue, and every opthamologist I've ever seen since then has been astounded at what an incredible job my surgeon did.
I don't have great vision - but that's not the fault of the strabismus. So, I do wear glasses or contacts (my vision is 20/450 -- yeah, that's right. I am severely nearsighted). But, other than that, everything is perfectly normal for me.
I had to wear patches after the surgery to strengthen my eyes, and that went on for a while - maybe 6 months? I was only 5, so it's hard to remember. I know that I did not like the surgery, but what child would? But the recovery wasn't too painful - maybe just a day or two of discomfort. They shortened the muscles of my eyes (I think?), and overcorrected them, so I was sort of cross-eyed and saw double for a little while (a week? a couple days??) as the eyes straightened back out.
Anyway, I KNOW it must have been torture for my Mom to subject me to the surgery, though nobody let on how scared they might have been. I have been very grateful that they took the risk.
I can only imagine how much technology has progressed since 1976, and even back then the procedure wasn't too terrible. I would encourage you to seek multiple opinions on this from a variety of surgeons - see who's the best in the area, shop around. This is a lifetime decision. And then, if surgery is recommended, I would go for it, with the comfort of knowing that technology is on your side and doctors can do marvelous things these days.