AXYZ retrofit - Stepper driver settings

Start with generic values, should be 5000/5000, direction is not important so leave it at 20000.
You can safely try Gecko settings, mark the motor pulley/shaft with a marker and set it to go back and forth several turns and several times, see if it returns exactly where you marked it, if it misses even by a very small bit, do not use those settings on a production machine.

Drive pictures?
Motors look like 4 wire ones, so Bipolar, so even cheap China drives should work, those "TB6600" that use TB67S109 chip are pretty good and are the cheapest enclosed drives at about 10-15$ a piece.
If you just want to get the best stepper drives, LAM Technologies are the best i have used, but at 100$ and up a piece are not cheap. DS1044 should be more than enough for most hobby or semi professional use, and the above price is only when they are on discount at www.mechapro.de, and do not mind the disparity between the current ratings, LAM insist on printing only the real current they can do so 4A drive is the usual inflated 5.6A. This is very important as if you set them to 3A for a 3A china motor, that motor will be smoking soon.

If you can choose from the 3 you listed, DM860 for sure.
It is the only of those 3 that can drive your motors properly.