It's All in the Cards - if you want to learn basic everyday reading meaning in various situations.
The Complete Tarot Reader - that's exactly what it is: teaches you to become a reader.
Tarot for Yourself - if you want to develop the intuitive reading method.
Two of those in combination should help you out.
Personally, I started with 78 Degrees of Wisdom. It's not easy, simple, succinct or anything like that, and it won't teach you to read tarot, but it's a marvellous classic all the same. It got me to see the tarot as an esoteric gift from the very start.
But the truth? - your best book is your deck - 78 pages that should keep you busy for a while. Buy a notebook and pen and write your own basic meanings. Get those down either before or at the same time as reading a book like 78 Degrees (write down each card before you read up what the author has to say).