Before his time with Hawkwind, House played in High Tide and the Third Ear Band, who contributed the soundtrack toRoman Polanski's Macbeth. Guitarist Tony Hill recounted how House became a member of High Tide: "[Pete Pavli and I were] hanging out with" and crashing where we could at Mike's or Wayne's. Simon ended up crashing there as well. Simon was playing bass then. He said: 'I used to play violin, you know?' So I said 'Get it!' That was basically it."[1]
He joined Hawkwind in 1974. He left the group for David Bowie's band in 1978.
Since the 1970s, as well as cutting an album (Interesting Times) with Tony Hill under the High Tide banner and releasing several solo albums under his own name, House has twice rejoined Hawkwind; between 1989 and 1991, and between 2001 and 2003.