Do not use RAID0 with SSD's. The performance gain is very small, and the risk of losing EVERYTHING if one unit fails is big.
You CAN use your old HDD safely if you do something a bit more complicated (but not much). I agree that a simple Format MIGHT not eliminate certain types of malware. But a ZERO FILL will. A Zero Fill writes all zeroes to EVERY Sector of the HDD, even the first parts where Partition tables etc. are located. When it is done, the HDD is just like a totally empty brand new drive. As a side bonus, doing this triggers a semi-hidden diagnostic system built into the drive that Windows does not even know about which will detect any weak Sectors and replace them with known-good ones so that Windows finds a HDD with NO Bad Sectors. There is one exception to that last statement. Any new HDD has a stock of known-good spare Sectors to use for that "self-fixing" replacement operation, and some of those might have been used up in normal operations before this. IF a lot of replacements are done, the HDD's SMART system will alert you to this and warn that the HDD might fail soon. If that happens, your best choice is to replace the HDD. So, after you do the Zero Fill you check that this is NOT a problem yet before putting the drive into use.
How to do this? You could download from the web a utility called DBAN and use that. It has lots of tools, including a Zero Fill one. You have not told us what company made your old HDD. Some of them have free disk utility tools for their drives only that you can download. For example, if you have a WD drive, get their Data Lifegard utility. If you have a Seagate unit, get their SeaTools. Each of these has several diagnostic tools to check your disk for problems, as well as the Zero Fill utility.
WARNING! Doing a ZERO FILL will destroy ALL of the data on the disk, so be SURE it has nothing you want to keep. ALSO be VERY SURE you tell it to work on your old HDD, and nothing else. I am in the habit of disconnecting most other drives when I do this, just so I can't get it wrong.
Running a Zero Fill takes a long time because it has to access EVERY Sector of the drive, so be patient. When it is done, back out of the utility. Now is a good time to use the testing tools in the utility package to verify the cleaned HDD has no problems.
If everything looks good, reboot your machine. Now in Windows go to Disk Management and find the HDD in the LOWER RIGHT panel. That place shows you hardware devices even if Windows cannot use them yet. RIGHT-click on the empty HDD and choose to Create a New Simple Volume. Check the options - most will be good. But you do NOT need this to be a bootable drive, since it will only be used for data. AND you can do a Quick Format (not a Full Format) because you have just completed the extra time-consuming testing that a Full Format does.
Once you have that old HDD cleaned up, tested, and Partitioned/Formatted ready for use, you will want to re-adjust where things go. Windows has created folders on your C: drive (the SSD) which are default places for many types of files. Similarly, many of your application software packages will have created folders on the C: drive for the files they create, like Word documents or graphical drawings, etc. You can tell Windows and your software apps to change to new folders on the HDD instead, then copy all you old user files in the folders on C: to the new folders on the HDD. Once they are all copied over, you can delete the old C: data folders and their contents, freeing up space there. And from now on, most new files created will go the the HDD (whatever drive letter that is), not to the SSD called C:.