Tumblr network footprints

Hello. so I got my network and it has ready to go. now before I start, I need to clarify some questions
When I post the same link it creates a footprint. so how I can avoid from this?
If I short my URL with bitly/goo.gl so it will help to hide my footprint?
OR if I create for every link, another subdomain for example
mywebsite.com/example
mywebsite.com/example2 ?
If I short my link with bitly, it still get juice to my website? I mean, in google eyes, they see bitly/mywebsite.com the same ?