I had a go at Chess 960 the other day, but whereas I thought I might do better against the computer as it didn't have an opening book, in fact the opposite happened as it quickly found holes in my position. Are there any good opening strategies? Is it best to try to massage your position into classical chess positions or to try to build a fortress around the castled king?
In Silman's book How to reassess your chess, it's said that it's the position which tell us what moves we have to play. I guess in 960 chess, more than in classical chess, the most important move is the first (maybe it would be better to take more time before playing it, except in a fast game).
Even if the initial position are symmetrical, Whites have an advantage which may be great in function of the initial position. So first look at the weaknesses of the opponent's and yours position (for example, in the classical position, f7 (respectively f2) is weak), if you bishops (which are necessary in square of different colors) already attack a weak square after moving a pawn, but overall if your king is safe. If there is a square which is only protected by the king, maybe it would be better to defend it quickly, or if you have Whites, try to attack it or at least put pressure on the Blacks.
I am not an expert at 960 Chess, but the same basic rules apply: develop your pieces, take control of the center, and bring your king to safety as quickly as possible.