If i upgrade will my user name be in all my links for each form?

I created a new form. And I noticed it says quality writing assignments on both of my forms links. If I upgrade will my user name be in both links or will I have separate domain names? If not there is no purpose to upgrade. For example, i don't want my domain link to say quality paper writing if I'm talking about sports. Here is an example https://form.jotform.us/QualityPaperAssignments/manifest... I don't want all my links to say quality paper writing in front of the link. 

Yes, the custom URL will still have your username in it. However, you can use a custom domain for your forms by adding a CNAME record to your hosting DNS settings. 

https://www.jotform.com/help/144-How-to-use-Custom-Domains-with-Jotform 

Please note that we currently do not support HTTPs on a custom domain.