Host your own private DNS - yes, knock yourself out. I highly recommend it.

Public DNS? No - don’t do that.

There are two services homegamers should be extra cautious of and should likely leave alone - DNS and email. These protocols are rife with historic issues that affect everybody, not just the hosting system. A poorly configured DNS server can participate in a DDOS attack without being “hacked” specifically. A poorly configured mail server can be responsible for sending millions of spam emails.

For a homegamer you probably only need a single public DNS record anyway (with multiple CNAME if you want to do host based routing on a load balancer). You take on a lot of risk with almost zero benefit.