Welcome to SR. You have landed at the right place. Just by browsing and posting your questions on SR, you will start thinking differently. It is good idea o make a plan . Please look at some of the posts on withdrawal symptoms and be prepared on what to expect . Visiting your doctor and doing a safe detox will be better idea.
Exercise is definitely good and there is hardly any book/Publication, not advocating for exercise. It should be way of life any way whether you have alcohol problem or not.If everyone does the required exercize regularly, many of Health Care Proffesionals WILL GO OUT OF BUSINESS. LOL .
Excesize is not the pill which can be prescribed , bought over the counter and washed down the throat. If it was, it would be the most expensive pill on the earth. However, the fact is, it is free of charge. No need for expensive GYM membership, running shoes, etc. To begin with, Just do brisk walk 30 to 40 minutes and/or climb your stairs. We wish you all the best.