"Every X of mine" VS "My every X"
Solution 1:
Personally, I feel that my every X is a more stylised/poetic construction. Perhaps because of that, it feels slightly "dated" to me as a spoken usage.
Apart from that I think it's semantically equivalent to every X of mine. But all my X's seems a more "natural" phrasing to me, and arguably there's a slight shift in emphasis...
Every X of mine places more emphasis on all my X's, considered collectively.
My every X emphasises each one of my X's, considered individually.
Thus, for example, in...
1: John defeated every argument of mine.
2: John defeated my every argument.
...it could be argued that #1 is more appropriate where John has defeated all my arguments using a single line of attack/reasoning, whereas #2 is better where John forensically addressed and defeated each of my arguments using a different counter-argument.
Solution 2:
disclaimer: I'm not a native speaker of English.
"My every" seems to be followed by limited experssions. I searched COCA Corpus. Among the total 255 hits of "my every", there are:
- my every move(ment): 65
- my every word: 20
Other examples include: my every nerve/breath/bone/muscle/vein/heartbeat; sense/intention/desire/expectation/thought... Seemingly "physical to yourself", in my poor expression.
It's not absolute but a tendency, yet seems to be a great majority.