If you are looking for your second chess book, I may have just the thing. Murray Chandler's How to Beat Your Dad at Chess provides a very useful introduction to chess tactics.
When I first saw the book, I had three reactions. I wished I'd come up with that title. Second, my kids know that it will take more than that book to beat their dad. And third, the title doesn't really express that the book is mostly about 50 specific tactical themes. It does its job so well that the title might well have been, "50 cool tactical shots that will beat your Dad."
The book includes 50 short chapters, each about a different tactical theme. You'll find most of the basic mating combinations such as Legall's mate, Domiano's mate, and Boden's mate. There are also chapters on key sacrifices (eg Bxh7+, Bxh6) and key manoeuvers.
Here are two positions from the book, as well as a few other similar games that I found with a simple database search. I think that you will find these surprisingly useful.
The "Fischer Trap"1.Bxf7+ Kxf7 Otherwise Bxe8 +- 2.Ne6 Trapping the queen 2...Kxe6 Otherwise, white wins the queen. But now it's white to move and mate in two! 3.Qd5+ Kf6 4.Qf5# *
More than just the mating pattern, the book provides examples. Here's a famous one: