Hi @Cacoluquia, welcome to Community!
If you navigate to C:\Users\[Your User Name]\AppData\Local\BraveSoftware\Brave-Browser\User Data, you should see a folder called Default . This folder will contain your bookmarks, extensions, etc…
This is for you main Brave profile. If you have multiple profiles you’ll see other ones called Profile X, x being some number depending on how many profiles you made/deleted.
You can then copy these folders and move them to your other computer. Replace Default with Default. If you’re transferring over folders called Profile X, you first will need to create a new profile on your laptop, then empty that profile’s folder and replace the contents with the contents from the Profile X you want to copy. Just adding the profile folder will not show up in the list of profiles.
UPDATE - This method of transferring profiles is no longer supported. Transferring profiles via this method can lead to file corruption. If you want to share bookmarks, passwords, etc between profiles or other Brave installations. Please use Brave Sync (brave://settings/braveSync).