You can backup your important files to the cloud or a USB.
It'd be pretty hard to backup app settings when transitioning to a different operating system. You can access the files from a live USB (i.e. booting into the install media) since Windows 10 files are unencrypted normally (unless you have bitlocker active), so you can access all your files that way. Getting your Chrome history can be done at C:\Users<username>\AppData\Local\Google\Chrome\User Data\Default according to some quick googling.
Overall it's hard to give you advice on how to transfer data from a computer because I don't know what exactly you're stuck on.