How do I backup my website homescreen shortcuts?

I have many websites which I constantly access thru my phone, but they aren't bookmarked on Google, they're just added to my homescreen as a web shortcut. Of course Windows is something else entirely, but I could just go to Desktop folder and copy everything *.lnk, right? Thing is, now I'm migrating phones. I already migrated all apps I wanted to keep. I feel there should be an equivalent easy way to do this, even without an app. Is there?