Well, one place to start is this subreddit's wiki page for recommended history books by subject, which includes a section on the history of science and technology. There are many recommendations there that one could imagine starting with, ranging from the more theoretical (Kuhn's Structure of Scientific Revolutions is a classic) to the very concrete (specific time periods, fields of science, etc.).

There are also textbooks by academic historians of science that are good for a broad overview. Peter Bowler's Making Modern Science, for example.

What I would avoid are overly popular versions of it. Avoid works written by scientists who have not trained in history. Avoid pro-science, rah-rah-rah sorts of things. They tend to peddle pretty error-filled versions of the history of science.