Giraffe's Band was led by Kevin Gilbert, who, as per discogs:
Kevin Gilbert was an American singer-songwriter, multi-instrumentalist, composer and producer. Born November 20, 1966 in Sacramento, California, USA. Died of asphyxiation on May 18, 1996 in Los Angeles, California, USA.
The music is pretty basic 80s pop with slight prog, maybe neoprog touches here and there.
A good example is the track called Progress, from the second: