Shaolin Al,
I am thrilled you are looking to try Shorin Ryu in particular from the Kobayashi branch which is the type of Shorin Ryu I train and teach. I will say that no 2 kobayashi ryu dojo's / organizations are the same so let me give some examples.
Shorinkan (Nakazato):
Fukyugata (not like Matsubayashi anymore) Naihanchi (1-3) Pinan (1-5), Itosu No Passai, Matsumura No Passai, Chinto, Kusanku Sho, Kusanku Dai, Gojushiho and Gorin
Shidokan (Miyahira):
Same kata done slightly differently with the exception of Fukyugata (Nagamine and Miyagi's versions) and Gojushiho which is way different with the same techniques. They also incorporate other kata I believe.
Kyudokan (Higa) and Kodokan (Aragaki Dojo):
Add's Jitte, Jion, Chinte, Unsu, and Sochin
Shubukan (Uema Dojo)
Adds even more and even older kata
Butokukan:
Another Shorinkan off shoot thats unique in its own way.
My dojo though we are rooted in Shorin Ryu from Shorinkan I have other background in Karatedo and have added Seisan, Wansu, Jion and Chatan Yara Kusanku to syllabus.
Some of the organizations incorporate kobudo otehrs teach it separately.
Some of the aspects of the style are:
* Natural Movement
* Natural Breathing
* Higher Stances
* Use of the hip is different than in Kung Fu
I think you will enjoy it and learn alot as long as you have a good instructor.