Custom Domain Forwarding

So i have a wordpress blog I installed under the subdomain Minneapolis.
https://minneapolis.safehavendevelopment.com

I just bought a new domain called:
https://www.safehavendevelopmentllc.com

What I am attempting to do is Forward my new domain to my subdomain permanently so that my posts get indexed under the new domain name.
So rather then,
https://minneapolis.safehavendevelopment.com/golden-valley-mn-roofing-repair/
I would get,
https://www.safehavendevelopmentllc.com/golden-valley-mn-roofing-repair/

So far hostgator has the worst support i have ever experienced. And I set this up recently while changing the A records for my other domain when hooking it up to my Tumblr page. And it indexs all posts just fine.

But I am not sure how to go about this process while using cpanel.
Keep in mind this is for Index Purposes. I dont want to just mask it cause thats all the kept recommending.

If its not possible ill admit defeat but i just need a second opinion. =/

Thanks!