Monsieurkonti Hello Heather here I hope you are well. When your site switches hosts there may be some down time as Google has to find the 'new' address for your website. To help make this process as smooth as possible we would recommend the following:
Once you have set up the new hosting I would recommend taking a screengrab of the DNS records at your host/registrar.
I would also recommend as part of this process asking your new hosting provider to whitelist the Ezoic IPs within their hosting and any security plugins that they have for your site. You can find the IPs here: https://support.ezoic.com/kb/article/how-to-fix-origin-errors
This article then helps you with the next steps to take: https://support.ezoic.com/kb/article/how-to-switch-hosting-providers
Once you have done this process please do let us know and we can then check everything for you. many thanks