One of the best starting points is Kindle Daily Deals. I think any bargain hunter has to bookmark their deals page at least, because the list really is daily, and the prices are $4.99 or less. I've scored a bunch of great books for a fraction of their retail prices. Got every single Cadfael book by Ellis Peters for $2.99 or less. Amazon also has Monthly Deals. This tends to be a more repetitive selection, month-to-month, but gems do slip through.Their deals page gives you access to both daily and month deals.
If you're a Prime member, you can get either 1 or 2 books from the First Reads section, every month, before the publication date. They usually have 7-8 books on offer, from a wide variety of genres, and many of the authors write mid-range bestsellers, or are about to be bestselling. I usually wait until the end of the month to make a selection, to see what the accumulation of reviews has to say about each book. I've found that a good rule of thumb with Amazon is to choose based on reviews of 4.5 stars are better--those tend to turn out to be the best selection. Not always, but usually.
A third resource: Specials throughout the year for things like international book day, where you can get around 6 books for free. I've also stumbled onto books offered for free for a limited time, so grab while you can. I won't grab just anything, but on a memorable occasion, a new book I was looking for came up free. MINE!
If you want additional savings, then Amazon has Great on Kindle books that offer a coupon for future purchases if you buy that book. If you like a particular author enough to follow them on Amazon, they'll also offer discount coupons on that author's books, via email, when you least expect it. And then they will have oddball coupons if you get the right banner at the top of the deals page. You never know what you'll find there--or when.
They also have cheap or even free reading options like Prime Reading and Kindle Unlimited. Prime Reading works like a library. You "borrow" a book for free from their "library" to read, and then return them when you're done. PR has a limited selection, and a limit of 10 books that you can "check out" at any given time. If you have 10, already, and find another book you want more, then you have to return one to make room for it. So far, I haven't run into "return by date" issues. Once you borrow a PR book, it remains in your Kindle library, even if it's no longer offered in their current PR selections.
I can't speak for anyone else, but Prime Reading to me is good for reading authors or genres I have only a limited interest in, or don't know much about. I can try without obligation of any kind, without cluttering up my personal Kindle library.
Kindle Unlimited is also like a library, but one that you pay to access because it has a bigger and better selection than Prime Reading, including many recent bestsellers. You're also able to download as many books as you like. The monthly cost is $9.99, but they always offer attractive introductory deals to try before committing to the $9.99 level.
IMHO, KU is better for people who read a great deal of genre fiction and nonfiction than those who read sporadically or enjoy serious literary works, but YMMV. I don't have it, but I know genre/nonfiction readers who do. It gets a great deal of love from them.
A new thing at Amazon are Kindle Rewards. It's in beta, but that's not anything to worry about. Sign up, and you'll get 10 points for every dollar you spend. when you reach 300 points, you get a $3 off coupon off any ebook--including books on sale. They're hinting at more deals coming for Rewards members, so it's definitely worth checking out.
I realize this is an overwhelming list, but I'm a serious bargain hunter. I make it my mission to find great deals about the things I buy, because I don't believe in paying full price for something, when I can get it for cheap.
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