Personally I wouldn't go the backup / restore route. I'd go with one of the two other options that have already been mentioned. Either:

a) Install the new drive as a 2nd drive and move your personal data to it. Pretty easy to do, just right-click on My Documents, click the Location tab, click Move, and point it at a directory on your new drive such d:\jclishe\documents. When you click OK, Windows will ask you if you want to move your data to the new location. Click yes and sit back while your data moves, and you're done. Now anytime in the future when you navigate to 'My Documents' it will bring you to your 2nd drive. Repeat the same process for My Pictures, My Music, and My Videos (if applicable).

b) Clone the old drive to the new one. I've used the free EASEUS Disk Copy several times with great results. I've never used Acronis which was mentioned by Cordelli but I'm sure it works just fine also.