Student or Learner
"The kids are fine, thanks. They keep my wife and me very busy."
Shall I use 'I' instead of 'me' in the above sentence?
Tks / ju
From a descriptive point of view, speakers do indeed use "I" instead of "me" in that context. It's a classic example of hypercorrection:
A construction or pronunciation produced by mistaken analogy with standard usage out of a desire to be correct, as in the substitution of I for me in on behalf of my parents and I.