I'll second allisons comments. Chinks are more comfortable for most riding. If you are out in cold weather, The shotgun chaps will keep you warmer and give more protection. But they do restrict your leg movements. And in the summer are too warm.
Chinks come down to your knees or just below and offer much more freedom of movement. ( Think swinging your leg over the saddle) They will help keep your thighs dry in rainy weather or when the brush is dripping water from a recent storm.
Batwing chaps are really only useful in the arena working cattle. Too heavy and bulky to wear for a trail ride. They look great floppying around while you cut cows or team pen. But I can't reccomend them for the trail rider.
Pretty much any body who works with leather can make chinks. Check with local saddle makers or aspiring saddle makers. They often start with chinks because they are faster to turn out and not as involved. Lots of chinks will be available at any Horse Fair which are common in the spring as rider get cabin fever. I've also bought some off ebay that have been great.
They come in many colors and many leather types. Look for some of the tougher leathers. Buffalo, Steerhide. Softer leathers that you see in gloves and garment leather are often to thin to offer the needed protection. Ie Elk and deer.
Chinks will come in assorted lengths. And have a variety of tassels or fringe. The fancier, the more money. But a good pair will last a LONG time. You can see a cheaper pair on the man to the left. Short very straight fringe just cut into the base leather. The center rider has much more expensive pair, with longer fringe, custom sewing and pockets built in. The rider with his back to the photo is in Shotguns. See how the back of his leg is covered in the leather of his chaps, Where as Chinks are usually open on the back side to reduce heat and weight.