I don't think the total eclipse of the moon will affect deer movement any more than it normally does when it's full. I could be wrong, but it's just the earth moving directly between the moon and the sun, so the gravitational pull of the moon and the earth will still be relatively the same..........at least I would think that it is??
At any rate, it's the amount of pull the moon has on the earth and vice versa that affects animal behavior......along with the brighter nights which seems to highten movement patterns due to the availability of light. Just what I've always been lead to believe.
Some so called "experts" that hunt for a living say that they hunt the mornings leading up to a full moon, then the evenings trailing away from a full moon, but sometimes don't even bother going out until the moon is waning after it's reached it's peak fullness.
I can relate to that from personal experience myself, with one exception that during a full moon the midday hunting can also be fair. I would sometimes sleep in and hunt from 10am till 2pm just to see what happens, and more times than not I would see deer stirring right in the middle of the day. That's especially true in winter when it's super cold where you live, mainly cause that's the warmest part of the day.
Ultimately, I guess it all depends on who you ask and what their own personal experience has been?
Just my 2 cents.