Hey FlashLight,
Yep, you'd just need to submit a support ticket with the log in details for the account(s), and HawkHost staff will handly the migration for you
If you have custom nameservers, you'd just need to edit the IP that your nameservers point to, so that they point to HawkHost's server. I am sure the HH staff can help you with that.
I've not seen a bad review on HawkHost, and can assure you that once you've joined you'll absolutely love it.
I hope you join
Cheers