Technically chrome with its sandboxing and patching speed is a safer choice for security, but I recommend Firefox. Google who develops 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 downside, since Firefox 57 Quantum, some security and privacy add-on doesn't work, which is a real pain. Firefox also has DNS over HTTP and anti-fingerprint.
So I recommend Firefox specifically configured and with security extensions added for security, privacy and anonymity.
For pure security. Chrome is more robust, 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.
Brave and Epic are still too new for me. Many "secure" browsers have come and gone. Not enough eyes on them yet. Firefox has much more scrutiny.