Technically chrome with its sandboxing and patching speed is a safer choice for security but I recommend Firefox. Google who develop Chrome have a business model that is reliant on tracking users for the purposes of advertisement. It is not in Googles best interest to restrict its own business model. So there is a conflict of interest between how they do business and privacy. Mozilla the guys behind Firefox have no such business model and need for tracking.
Since Firefox 57 Quantum came out, Firefox is faster than Chrome too. On the down side since Firefox 57 Quantum some security and privacy add-on don’t work which is a real pain. So I recommend Firefox specifically configured and with security extensions added for security, privacy and anonymity.
For pure security. Chrome is stronger really.
Covered in Volume 2.
For more extreme security/privacy and anonymity I use the Tor browser (modified Firefox). This can be used with and without the Tor network.
Another browser to consider is Brave, but this is still a little new for me.
Epic is too new for me. Not enough eyes on it yet.