Add an alias and hide ip

Hi every one
Before becoming a member of Cloudflare, I have defined an alias (B) for my website (A), from cPanel on my HOST. Now I have added my original (A) website on Cloudflare. I am going to ask my HOST to change my ip and I prefer to change the ip of my alias (B), too.
Should I add my (B) site to Cloudflare too? Then. should I change DNSs on domain name provider, same as (A) website?
I want to hide my ip! That’s why it’s important to me.
Thanks every body

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