These questions seem to have been left unanswered, which I shall reply to in a mo. My answers are written with the assumption that your mind hasn't been changed over the use of a stop bath yet?
Tap water is fine to use as a
regularly replenished stop bath for both film and paper. I say that with the assumption that is is not really grungy or from a well etc with obvious impurities in it.
It doesn't have to be filtered but I do put my tap water through a Paterson funnel filter. This is to be on the safe side to catch the occasional tiny impurities in my water. I do this for film developing but not for prints.
'With a tray pump?' I'm not quite sure what you mean by that but if you have enough room for some form of pump and inlet and outlet hoses between your trays, then you definitely have room for one more tray to put stop bath in - it really is worth it.
As said, stop bath is really cheap in the long run, but if you are affected by the vinegar odour, there is a citric acid based one that has no smell. Again this can be bought quite cheaply or you can make your own using, I believe, one teaspoon of shop bought citric acid (it's easily obtainable in brewing shops, chemists and on ebay) to one litre of water.
It would be good to hear how you get on with your first goes in both the film and paper developing.
Terry S
PS just reading the PDF you put in one of your links, about the fixer, it doesn't say not to use a stop bath, it gives you the option of using water or an acid stop bath.
I'm not sure why, but they also suggest using distilled water to make up the working solution of the fixer. I have never done this and have found over the many years of developing etc that this is any unnecessary step unless like I said, that your tap water is a bit grungy. So I think they may be erring on the safe side, but maybe someone else on this site can chip in with any good reason why?