Often, to gain #privacy you have to sacrifice speed or user experience. Changing your #DNS server is kind of an exception, though. Unless, you have set up your own private server or you live in a region with poor ping to Cloudflare's servers, 1.1.1.1 seems to be the best solution for privacy AND speed. Although, #Cloudflare is a huge for-profit company, they get audits annually to prove their statement remains true: no IP logs or other user data trading.
IPv4: primary: 1.1.1.1 secondary: 1.0.0.1
IPv6: primary: 2606:4700:4700::1111 secondary: 2606:4700:4700::1001
For private DNS (in Android): https://1dot1dot1dot1.cloudflare-dns.com/
If your programs support DNS over HTTPS or DNS over TLS make sure you enable that to encrypt your DNS requests. Firefox and some Android versions do.
@gioypi Plus -- easiest set of DNS IP addresses to remember!