It takes about an hour to transfer from Godaddy.
1st you have to unlock your account and to do that your personal who is info instantly goes on icann
while waiting for that go ahead and click I want to transfer to a new registrar.
get your code to transfer but you may as well wait 15 mins or so after it hits your email to even attempt.
Take that code over to CF and click the transfer to CF link, if your domain is still locked which will probably be the case right click on thet greyed out link to get a more accurate status. It will eventually ask for your code (50 or 55 mins to do the whole process) Now this is the most important part if you want a fast transfer , go here and follow the instructions,
You are looking for out going transfers. Approve the transfer and you will be on CF a couple minutes later with totally private icann records.
Godaddy is a early 2k's style clunky website. One website with privacy on Godaddy cost
30.16 1 site with the same at CF was 9.15 and Expires: October 9, 2024 so CF is a deal