My family always encouraged the playing of instruments. My grandmother is a very good piano player and that seems to have been passed onto my younger brother who is a fantastically talented pianist/keyboard/synth/organist/any-other -instrument-that-he-has-in-his-hands-for-five-minutes. They both have a natural flair for music, which I don't, I have to work harder to get things down. I started off playing the cello when I was a kid, gave it up because I wasn't going anywhere and I wasn't really into the stuff I was playing. But I still wanted to play an instrument, so I figured that a bass would be a good idea. Then I figured that an electric guitar would be more fun, so when I was 13/14 I took it up.
Music-wise, I grew up listening to my Dad's stuff - Queen, Dire Straits, The Eagles, MTH, Free, that kind of thing........ and I figured that it'd be kind of fun to play along, so that's part of my justification for picking up the guitar. My first 'guitar heroes' were Brian May, Mark Knopfler, Mick Ralphs and Paul Kossoff. Got into various obscure early-70's blues-based hard rock bands, then I started looking into the people who influenced them and got into the Brit blues revivial (John Mayall, Alexis Korner and the like), then I started looking at the people who influenced them and got into the American electric blues players (BB, Freddie, Albert, JLH, et al). I'm still exploring that genre at the moment (there's a lot to explore), and just beginning to foray into the world of acoustic blues fun.
As a guitar-player, I'd like to be a cross between Rory Gallagher, Mick Ralphs, Leslie West, Paul Kossoff, Allen Collens and a Bluesbreakers era Eric Clapton and Peter Green; those are the players who's style, techniques and tone are most influentual to me at the moment. Still got a long way to go mind, there's a lot to work on.