TBH, with your requirements, I’d advise against using sample libraries in Kontakt or fiddling with sampling your original keyboard - working with sample libraries is always a bit more complicated in Cantabile.
I’d suggest you simply get a couple of workhorse VST instruments (e.g. Korg M1, Air Xpand!2) with a broad range of bread & butter sounds and see how far they carry you. If you want, you can add some specific specialists where you’re not satisfied with the workhorse sounds, e.g. VB3-II or Blue3 for Hammond, Addictive Keys, Pianoteq or some specialist library for grand piano, Velvet for Wurly/Rhodes. Then take it from there.
Tx16Wx is a nice sampler, but a bit complicated to get right, expecially when working with multiple Cantabile PCs/laptops. Working live with VST samplers is a bit of an advanced topic, not as straightforward as fully integrated instruments, so I only do it very sparingly when I absolutely need to. Too much that can go wrong with sample locations and memory management…
For an alternative sampler, take a look at Grace - for just firing off the odd sound clip or simple sample sets, it’s definitely good enough and not as confusing as Tx16Wx can be sometimes…
Cheers,
Torsten