I'm not to lazy to look, I just want to make sure I understand.
I moved to KY in June 2014.
At that time I had( still do) a MS CCW
Prior to that I have held an Arkansas resident CCW which I had to attend a class to get.
I have a DD214 showing honorable discharge from the Army as an o3.
It does not show handgun qualification on it.

What do I need to do to get a KY. CCW?
I am confused if I am good on training or if I have to take more.

Unfortunately your out of state CCDW aren't worth anything now that you're a KY resident.

Unless your training is approved by DOCJT or can meet the criteria on this page, you'll have to take a DOCJT course.

http://kentuckystatepolice.org/ccdw/ccdw_faq.html#training

Give them your DD14 and an affidavit of training if you've had handgun training.
http://kentuckystatepolice.org/ccdw/pdf/ksp_136_ccdw_military_training_affidavit.pdf

But, don't worry.   It is very easy .   Welcome to the state.

I should have specified, you give them your DD214 or any other paperwork that specifies honorable discharge AND the affidavit if you've had handgun training IN THE MILITARY. Civilian training does not count, but it doesn't specify how long or comprehensive the training has to be so it reasons that if you were shown simply how to operate an M9 you qualify.