I just activated CLOUDFLARE yesterday.
I have four CNAME records that point to external websites. They were functioning fine.
EXAMPLE: CNAME/HOST RECORD: to POINTS to cname.bitly.com
Bluehost is telling me to add an A RECORD to CLOUDFLARE and leave the CNAME records on their cpanel alone - but URLs not resolving. Bluehost support isn’t much help.