Hey there, Stryker041.
Basically cloning your drive creates the exact same partitions, which means that since you are using that drive with the same computer (same hardware configuration) everything should be just fine. Just make the SSD the first booting device from the boot priority menu in your BIOS (as you've suggested) and you are good to go.
You should make sure that the cloning process is successful (make sure that you can boot to Window by using only the SSD) and if everything is OK, you can backup the rest of your personal data and repartition the HDD so that you can use it as a secondary storage drive.
Hope that helps. Please let me know if you have any questions.
Boogieman_WD