To answer the question "what type of aikido do you teach?" the direct answer is that our aikido comes from the Koichi Tohei lineage. Koichi Tohei started his aikido study in the 1950's under the founder, Morehei Ueshiba, and was considered one of his most talented students. Tohei was a primary influence to bringing aikido to the United States, through Hawaii originally.
There is quite a bit of history on Tohei you can find on the web, but he was the only person who was promoted to 10th dan by the founder himself. Upon the founder's passing, Tohei became the chief instructor of hombu dojo, while Ueshiba's son became doshu (head of the aikikai organization itself).
Tohei parted ways a few years later to establish his own style of aikido to keep his teaching style and focus on techniques intact. He did not fundamentally change the techniques of aikido itself, but kept with teaching what he found effective.
Aikido is very much a reflection of the individual practitioner, unlike many martial arts which focus on uniformity. Aikido instead focuses on principles which may need to be altered slightly based on the traits and personality of the practitioner.
Other notable instructors in the lineage of the aikido we teach at Spirit Aikido is Roderick Kobayashi, Isao Takahashi, and Bill Sosa.
Each person approaches their martial arts training with a slightly different focus. Aspects of training which these instructors handed down to us are: dedication to practical and useful application of technique, smooth and powerful motion, efficiency of motion, and embracing outside influence from other arts.