All of your Google Chrome's data, including bookmarks, extensions, extension data such as Tampermonkey scripts, are stored at this location:
C:\Users\<your user name>\AppData\Local\Google\Chrome\User Data
So simply copy this folder to the corresponding folder on your new computer.
To see how to do the same thing with Mozilla Firefox web browser, consult How Do You Restore all Data of Mozilla Firefox Web Browser?
If you have any questions let me know and I will do my best to help you!