It's hard to get around the signature that your IP and system description present.
But you can do some of the following:
1- run browser in private window option. No cookies will be retained, no history. You give up autocomplete. Your system is still vulnerable if you click on or download bad stuff.
2- run browser in a separate instance entirely. Destroy each time. You'll keep no history, but the parent OS is protected. You do have to do a little more work to transfer downloads safely.
3- At the extreme, use a USB stick with Linux on it to do browsing sessions. Extremely low probability that you can be compromised by a bad site if you're running the browser in a non root account. And like with #2, the in memory single session dies when you shut down. Downloads remain the primary risk as you transfer them to the parent windows desktop.
4- If you use facebook, use a different browser entirely, or do one of #1/#2. A lot of sites rely on facebook as an auth method, or sometimes the only auth method to comment or participate. Isolate FB tracking from all the other sites you visit.
5- and above all, don't use important email addresses or identical passwords for any internet social behavior compared to those on financial accounts. Don't reuse the same password on financial accounts either. These get popped far too often.