BluesLife, I think classicals don't have compensated bridges, so you should be able to just restring it the other way round.Electrics are only "handed" as far as the body shape goes - the intonation can be adjusted to go either way. Hendrix used a right-handed guitar but played it left-handed.
Mark Knopfler incidentally is a lefty but plays right-handed. He said that he preferred it that way, bcos then his strongest and most dextrous hand (or "most sinister", possibly ;-) is in control of the melody.
Re Huw, apparently bands envied the Beatles bcos having a lefty on the band meant that they got a nice "symmetry" on stage of one guitar neck pointing one way and one pointing the other. So not always a disadvantage!
Graham.