Mozilla Firefox bookmark transfer?

I am to guess that you were using Windows XP and your new computer is also running the same OS.

You need to detach the old drive from your computer and attach it in your new one. You can use an external casing, if you do not want to open your computer's cabinet.

Now, browse to the following directory : C:\Documents and Settings\%username%\Application Data\Mozilla\Firefox\Profiles (Please note that the drive letter will be changed as soon as you attach the drive with your new computer. The C drive I mentioned is the one in your old hard disk. Username is the name of the user whose bookmarks you want to access)

Inside the Profile folder, you can see a folder with .default in its name. Open it up and you will see another folder named "bookmarkbackups". There may be multiple files in it. You can see dates on the file names. Choose the one with the latest date, copy it and go to the your new computer's hard disc and paste the file in to the same "bookmarkbackups" folder.