You need to purchase a hard disc enclosure like the ones in my LINK - insert the old drive into the enclosure and connect to your laptop via a USB port and copy to new drive.enter link description here
I recently got the IOMAX one (No.2) but any would do - depending of course on whether you HDD is SATA or IDE. - just buy the right one. There are some that doth both SATA and IDE. The choice is yours.