I did the HDD replacement not so long ago, like 2 weeks ago.
Since you are using a drive that had filesystems on it (the 1TB one as you said, you had formatted it with NTFS), you probably would have to clean it from any partitions. Here's a quick guide:
https://www.easeus.com/partition-master/remove-partition-windows-10-free.htmlREMEMBER, IF YOU CHOOSE THE WRONG PARTITION, YOU WILL DELETE ANY FILES ON IT, DO IT CAREFULLY AND I DO NOT TAKE ANY RESPONSIBILITY FOR ERASING YOUR DATA
also you don't have to create any new partitions on the drive, PS4 firmware install will do it automatically since PS4 does NOT use FAT32 on internal HDD, or any HDD for that matter.
What you have to do is have a USB drive (FAT32 formatted) with the update (the big file, like 1GB) on it in directory PS4/UPDATE, then you hold the power button until second beep and you can install the firmware on new drive.
Here's the full guide by Sony:
"1. Initialize and reinstall PS4 System Software using Safe Mode
2. Using a PC or Mac, create a folder named "PS4" on a USB drive formatted as FAT32. Inside that folder, create another folder named "UPDATE".
3. Visit the PS4 System Software Update page and select the "Reinstall system software" section. Download the installation file and save it in the "UPDATE" folder. Save the file as "PS4UPDATE.PUP".
4. Plug the USB drive containing the installation file into the PS4™ system.
a) If you get the error: "SU-41350-3" ,it means that the PUP file was renamed by your computer due to multiple downloads of the same file.
Solution: Check the download location on your PC or Mac, delete any previous versions. Make sure the file is named: PS4UPDATE.PUP.
5. Start the PS4™system in Safe Mode: press and hold the power button, releasing after the second beep.
6. Select Safe Mode option 7 [Initialize PS4 (Reinstall System Software)].
7. Select [Update from USB Storage Device] > [OK]."
