Fire in the Valley is a great place to start and is a solid overview of history.

Pirates of Silicon Valley is also very good. It was made in to an excellent documentary that you can find very easily and stream.

Where the Wizards Stay Up Late is a great look at the germination of the internet

Hard Drive: Bill Gates and the Making of the Microsoft Empire was a super fun read and shows you how Bill built his empire.

For some earlier history before Jobs, Woz and Gates got involved, take a look at Dealers of Lightning: Xerox PARC and the Dawn of the Computer Age to see where those guys poached alot of ideas and talent from.

The Soul of a New Machine by Tracy Kidder is great, although its focus is a little earlier than what you're looking for. It was also (obviously, in my opinion) a big influence for the AMC show Halt and Catch Fire, which is set right in your timeframe and has a wonderful first season.

Edit: I should clarify that the book is nonfiction and the show is fiction.

I took a History of Computing course at my university some years ago, and our textbook was Computer: A History of the Information Machine.

That covered the earliest mechanical computers through the mid-nineties, at which point the market had become standardized and there were few unique contributions to computing technology being made by specific products and inventors. Since you are looking for the dawn of the PC era, that period is covered quite well in this book.

As far as ease of reading this book, my anecdote is that I started reading it out of interest before any readings were assigned, and I finished it the same day. Perhaps the only "textbook" I've read entirely for the enjoyment of it.