About the Gmail Data Transfer to Thunderbird

I apologize in advance if I have sent out anything suspicious below. I have a question regarding the Thunderbird-Gmail transfers. I have read about the article ([[Thunderbird and Gmail|https://support.mozilla.org/en-US/kb/thunderbird-and-gmail]]) regarding data transfers to Thunderbird from Gmail. I was wondering if it's possible to transfer all Gmail data of that email address (i.e. examplename@gmail.com) to the different email address for Thunderbird (i.e. abcde@thunderbird.com), rather than using the same email address that I use for Google's Gmail? If so, should I follow what's described in the above article link, or is there a different way? Also, what should I do with the websites that I log in to, such as social media, healthcare, business-related login information, etc. between email addresses from Google's Gmail and Thunderbird? I really don't want to mess anything up on any of my important personal stuff.