My plan to protect data integrity during migration to new PC

I'd like opinions on my plan to move my data from an old PC to a new PC without losing a single file (to a bad sector or the like).

Background:

- PSU failed on old PC.
- Old PC has 2 HDDs in Raid 1 (software based, on-board Intel).
- Backups for old PC are several weeks old, so I'd prefer to retrieve data from Raid 1 array.

My plan:

Step 1: Install new PSU and new HDD into old PC.
Step 2: Fire up old PC (if Raid 1 mirror is not intact, it will automatically rebuild, as it has in prior power outages).
Step 3: Run Western Digital disk utility on new HDD to format and check for bad sectors.
Step 4: Copy all necessary data from Raid 1 array to new HDD.
Step 5: Power down old PC and remove new HDD.
Step 6: Install new HDD into new PC.
Step 7: Copy data on new HDD to new Raid 1 array.

Again, my goal is to successfully transfer my data without losing a single file. Is my plan likely to do that? Thanks very much for your thoughts.