@rflores : Although this question is out of theme support scope, i am going to provide you some instructions about changing the current domain name to new one.
First and foremost please take a backup of the current website. Yow will need to backup all the files as well as database.
Next, move all your files to the server of new domain and move the database as well.
You will need to update the site url and home value of wp_options table to the new domain name.
Still, your site will have some broken links. To fix the broken links download Better Search Replace plugin and replace the old URL with the new URL.
Please move the site to new domain at your own risk.
If you have any difficulty moving the site to new domain, its better to seek professional help.
Let me know if you have any more questions.
Regards,
Tikaram