Not-quite-beginner seeking advice

I've known how to play chess for about 40 years, and have actively played go for about 20 years, and have taken a break from go, and would like to learn to play chess a bit better. I'm around 1000-1100 ELO according to different sites (such as this one) and programs. 

I don't want to do any really deep studying, but I'd like to learn enough to make the game seem a bit less random. Is there _one_ book that I absolutely should read? I don't want to get lots of books, and I don't really plan to spend a lot of time, but I feel that playing chess would be a lot more fun if I had a better idea of the fundamentals.

Thanks for any recommendations.

There have been a number of previous threads on this subject.  Do a forum search of the archives for beginner books and you'll get a lot of advice.  Haven't read it, but "Chess for Dummies" was recommended by a few people in the past.

I wouldn't recommend chess for dummies.  Seirawan's winning chess series is great though.  "Play Winning Chess" is the first book of the series, and will give you a good basic overview of what goes on during a game of chess.

That's a familiar refrain.