If you have an installation disc, you can just reinstall with that on the SSD. But disconnect (e.g. Sata cable) the 1TB HDD, else your bootmgr will land on it. No real need to wipe, but it may be advantageous for Trim to do so. The commands in elevated Command Prompt (run as admin) are:
Diskpart
List disk
Select disk n (where n is the number that was given for your SSD in List disk)
Clean
Exit
After the installation on the SSD, you have to change the bootsequence in the BIOS. The SSD must be first (or second after the CD/DVD reader.
For deleting the OS partition on the big HDD, go to Disk Management (once you are booted from the SSD and the HDD is reconnected) and delete the OS volume and the partition there.