| 1. Get Kaplan. Skip the tips that they give you and jump to the practice tests. Yes, they are harder than the ACT exam but you need this book so that you can learn why you made a mistake on a particular question or Math problem. Remember - the more practice tests you do (under real time constraints), the better ACT test-taker you'll become.
2. Get PR's Cracking the ACT. This book will teach you all the tips you need EXCEPT for the Reading section. It's seriously dumb and I doubt those who are struggling with this section can improve by using their stupid strategy. But overall, they have solid strategies which will re-enforce what you've learned from Kaplan. Do the practice test again for the same reason above.
3. Get Real ACT. Worthless tips so don't bother (besides, you'll learn 20% of the strategy from Kaplan and the remaining 80% from PR). The important thing here is that after doing all those 5 or so practice tests from the previous two books, you'll find out that these retired ACT tests are a piece of cake (and you'll be glad Kaplan and PR's practice tests are a bit harder)!
EDIT: I know these are three books but you still have about a month 'till the exam. Sacrifice that one month for a possibly rewarding future. | 
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