As a previous poster said, websites like Ancestry or FindMyPast are probably the best places to start.
As @Wigeon said, you can often access them for free at some local libraries. Although, where I live, this is only available by making an appointment in advance at the main library on four days a week (so you have to take time off work if you want to do it this way).
From these you can find the census information for people who lived in your house from 1841 up until 1921. There is then also the 1939 Register as well.
From there, you can go on to look in more detail if you want. There are also a few books that I would recommend:
Tracing Your House History: A Guide For Family Historians (2013) by Gill Blanchard. £12.65 on Amazon
This book really goes into detail about all the different sources that are available. It doesn't so much tell you how to do things, it's more about giving you the sources.
Then there is:
Collins Tracing Your Home's History (2006) by Anthony Adolph. £20 on Amazon.
and
Tracing the History of Your House: The Building, the People, the Past (2006) by Nick Barratt. It's out of print but secondhand copies are £0.95p on Amazon.
both of which are very useful indeed.
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But, it you wanted an absolute basic, beginners introduction to the whole thing then this would probably be a good place to start:
How to Research Your House: Every Home Tells a Story (2007) by Pamela Brooks. £9.33 on Amazon