hi, I have built up the project on Yuriys toys and while it is created for a mill, it adapts easily to a lathe. bear in min that you will only be using the DRO function on the lathe. Yuriy did note he was making a lathe version.
as to the 110v, there is no problem as the Arduino boards have a barrel plug and I use a 9v charging adapter, these are easily found in the power you want or in models with selectable output and with various tips. they plug into a 110 outlet and convert the AC to DC voltage.
if you follow Yuriy's steps, the scales ger their power through the arduino project. to complete the project, you use a board that plugs directly to the arduino called a 'proto board' or prototyping board. the i-gaging scales readout is attached by a usb cable that is the wired to the proto board.
it is not hard, It was my first project electrically that was more than soldering two wires together. any mistakes made, were from missing a step and easily walked back.
still, if this is daunting, someone on ebay (i read somewhere) is selling an aluminum housing milled to accept the readout displays that come with the i-gaging scales. the all you have to do is mount them in the display, label youe axes and go from there. your username includes 'biplane' and if you build models or full scale, you know that building an airplane is mostly about mounting things to the cruciform planform. Yuriy provides a great deal of versatility and was less daunting to me than opening a box from a Proctor Museum scale kit.
I bought my scales fum a guy here on the forum and the cost in parts tobuils out the scales was less than 150 total. however, if I add in the new tools and toys along the way and the extra arduino r3 and proto board, the the motor control board, well, you get the idea.
if you have a local machine hobbyist club or even a vo-tech, maybe a trade school, it may be possible to get a student interested in real world practice and get them to build it for you.
i did it because I wanted to learn and do things interesting to me, the same reason I got the lathe. I look at all of this in this way, if I fail, I can always pay someone to build what I want but at least all I have lost is time and nore more money than by golfing or any other hobby.
good luck!