I assume you got that Transcend kit with the nice USB external enclosure they include?
Just wait until the new parts arrive then install the blank new drive in your MacBook and put the old drive in the enclosure. Now option key boot to the external enclosure (with your old drive in it), then follow
this video to format the new drive and use Disk Utility to clone the old drive to the new.
Once that is done shutdown and disconnect the old drive in the enclosure and boot to the new drive. Then go to System Prefs and select the new drive as the boot drive.
No need to install any utilities to do the clone as Disk Util does the job and will also copy over the hidden recovery partition. Don't user SuperDuper since it does not copy the recovery partition.