And for reference, I put a copy of my wallet on my laptop and am careful not to double spend, but I have access to my coins in both places.
Out of curiosity, how long does it take for the unused client to adjust it's balance? Is it as soon as it receives the transaction broadcast, or does it wait until the transaction is in a block? It seems like it would be the former, but I haven't tried it or looked at that part of the source.