I believe the C6 uses 5/16" inverted flare connections on the transmission, and on some of the hard line mounting coolers....otherwise it will be some type of barbed hose end on the cooler in most cases.
I have found a good bender (or three), and some experience, are what gives the best results.
It also makes a difference which type of hard line you are using.
Much of the stuff available at local auto parts stores is either coated with something, or the line is quite a bit more rigid and brittle than from years ago.
These factors make bending more difficult.
Grease...regular bearing grease, used where the bends and the bender will touch, gives much better results too.
Making hard bends (more than 70*) often works better when done in tiny stages with careful observation and adjustments as needed.
Sometimes you can make the whole bend in one shot, but most of the time you can not, especially if you are going 90* or more...the hose just kinks, crushes, or bends weird.
My personal favorite is to source a good cooler with hard line fittings, or the ability to install hard line fittings.
If it came equipped with barbed hose ends I don't like it...I've used them, but I don't like them.
I bend and run the lines in a smart area.
Then cut to fit and form the proper ends with a good flaring tool (hard to find these days for less than $350)
Take you time, bend carefully, and soon you will have great had lines that will last basically forever.
You can run the braided lines. Just keep in mind they may deteriorate over time.
Because of the possibility of deteriorated rubber getting in the trans I have not run the braided lines.
Teflon, or some other poly coated lines, would probably alleviate this issue greatly...still, the flexible lines do have a shorter lifespan than the hard lines.
For the flexible lines to work all you really need is the ability to install the desired fittings to mount the hose.
I suspect you have a local commercial fluid transfer supplier in your area. Around here there are two big names (hose and conveyor) (Pirtek)
Places like this will often build you a hose to your spec...except for brake lines...lots of rules concerning brake lines. But you should be able to get what you need to install a nice set of lines.