You are in a bit of an odd place. On the one hand you will be new to physical controls, on the other hand you have experience with the software for 4 years, to the point that you even moved from one software to another which I assume was because it fit your style/workflow better.
I’d seriously discourage you from buying the two Pioneer ones you mention (or any other Pioneer controller for that matter) if you want to continue use Traktor. The only safe bet imho is to buy NI gear if you want to use Traktor.
Also the S1 has real CD options which you don’t need but is effectively a set of CDJ350s with a DJM350 mixer in a box. And frankly that is not really a good Pioneer setup. The XDJ-RX is a nice controller, but should only be bought if you know your have a specific need for what that controller offers.
Since it’s for the home and you are starting with your first physical controller, I’d be on the lookout for a used S2 (or S4 depending on what you can find and for what price). It’s fine to get your feet wet and your hours of practice in. Sooner or later you will start to compile a list of things you want/need in your next controller. By then you are far more able to make a selection of what’s out there (like a new S5 or S8). You’ll resell the S2 and get the right controller for the next step in your DJ-ing.
Just my three cents as usual.
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