1. Signup for https://www.creditkarma.com. Yes, you can argue about giving your credentials to a 3rd party company and they show you ads but credit karma sends me real time activity on my credit report FOR FREE. I get offers etc but I am happy since I can keep an eye on my credit report from all agencies. (except Experian who want you to pay them for report).
2. Get a free credit report once a year from https://https://www.annualcreditreport.com
3. Get your FICO score from discover [0] for free OR Open a credit card with Citi cards [1] and I think for $95/Year fee, they give you free FICO score which is the score that majority of lenders use. There are many other companies that offer FICO score for a fee but this was a good way for me since I needed that type of card anyway.
[0] https://www.discover.com/free-credit-score/
[1] https://www.cardbenefits.citi.com/Products/FICO-Score
4. Check your credit card and bank statements every few days. I do it once a week. It is a good habit. For this step, do it manually. Don't rely on mint or tools like that. Check the transactions manually.
5. Setup alerts with your bank/credit card for transactions with a certain threshold. For example, I have alerts for anything over $10. For under $10, see Step 4. This is another step in case you do have a fraud.
5. Don't give out your SSN or credit information to anyone unless absolutely sure. Never give these on a phone call with any company unless you know that you called that company and they need the info (example: health insurance etc).
6. If you ever get a call from a Collection Agency, do not give them your information right away. Lot of collection calls are plain fraud or incorrect. Ask them to send a letter with details (genuine ones will do anyway). Read this from FTC about debt collection to educate yourself
https://www.consumer.ftc.gov/articles/0149-debt-collection
These steps will keep you safe for the most part.
Fun fact about credit reports: See this video by John Oliver.