How to transfer Chrome start screen links to a new mobile phone?

On my old mobile phone (Samsung, Android 10) on the desktop, I have many folders with website links (you know, the ones you can create in Chrome when you select the "..." menu and then choose "Add to start screen"). Now I got a new mobile phone (Samsung, Android 12) and recognized that the Samsung Smart Switch tool doesn't copy the links from my old phone. I know I could open every link separately and then bookmark it, but this is cumbersome and not an option I want to consider since I have collected many links over the years. Is there a swift way to transfer the links from one phone to the other? - or - Do you know where on the phone the start screen links are stored? (then maybe a tool like TotalCommander would be able to copy it via a WiFi connection).