The location of the folder where your passwords and browsing history are stored can vary depending on the browser you are using. For example, in Google Chrome, the folder is typically located at "C:\Users[Your User Name]\AppData\Local\Google\Chrome\User Data\Default." In Mozilla Firefox, it is typically located at "C:\Users[Your User Name]\AppData\Roaming\Mozilla\Firefox\Profiles[Profile Name]."
If you are unable to find the folder, you can try searching for files with the extension .logins or .json.
To manually transfer your user data, you can try copying the entire folder containing the browser's files to a external drive and then pasting it in the same location on the new system. Be sure to backup the files before formating the partition.
Another option is to use a third-party software that can help you backup and restore your browsing data, such as Firefox Backup Tool or ChromePass.