If your using Internet explorer, your favorites are easily movable from one machine to the other.
If your old laptop was windows xp: go to my computer, open the hard drive(C: typically), then go to documents and settings, then your user name you use, in there you'll see a favorites folder that is a star shaped icon, open that folder and copy all the favorites. Then save them to a flash drive, go to the new computer and do the same thing, except copy the favorites off the flash drive and paste them to the location above.
If your new laptop is windows 7, instead of the documents and settings folder it is renamed to "users"
If you need anymore clarifying let me know.