OK, there are two forms of thiosulfate commonly used as photographic fixers. The older, more classic if you will, of the two is sodium thiosulfate. The other is ammonium thiosulfate, also known as "rapid" fixer, which works more quickly and has more capacity than the sodium version. Either may be acidic, neutral, or alkaline. If it is an acidic fixer, it may or may not contain an incorporated hardener. Neutral to alkaline fixers will never contain a hardener. There are very few materials or processes in use today that require a hardening fixer, and none in the most commonly used negative and paper processing systems, so chances are that you won't need a hardening fixer. And that's a good thing because neutral to alkaline fixers wash out of papers and films much more quickly than do acid hardening fixers.
You can use the same type of fixer for films and papers, but I would caution you against using fixer that has been used for paper on film and vice versa. There is some evidence that fixers used for film can have a deleterious effect upon the longevity of prints fixed with the same fixer. So say you get some Ilford Rapid fixer. You can use it for both film and prints, but make up separate batches of working solution for each and keep them separate.
BTW, C-41 fixer is perfectly ok for B&W materials. I use it all the time and it's a very good value. Only problem is that you need to buy the concentrate in large quantities. I believe the smallest size Kodak sells now is 5 gallons of concentrate to make 25 gallons of working strength fixer.