There is actually not a lot to be done. As bad as the triggers can be on some Toks, they appear to improve a lot with use, so perhaps it just needs breaking in.
As far as having the trigger action honed or improved, I think that you are going to be out of luck, and a lot of this is mainly due to the design.
The first part of the problem would be the "take up", or amount of trigger travel before it contacts the sear. The trigger has around 1/4" of "take up" and eliminating that would require either a frame modification, or a new trigger with a longer stirrup that would have to be custom fitted to the pistol. Neither of which is a cost effective option on a $150 pistol.
The second part of the problem is the modular design of the hammer group. Because of manufacturing tolerances, there will always be a tiny amount play between the fit of the hammer group and it's seat in the frame. So no matter how perfectly honed and smoothed the hammer group components are, the trigger pull will never be crisp. This play cannot be eliminated without considerable fine work - again, not worth it for the cost.
The hardness of the pull might be improved by honing the hammer and sear, and/or replacing (or lightening) the hammerspring, but a reputable pistol smith is not likely to want to charge you what it would cost to do this given that the return on your investment is likely to be minimal.
If you do attempt it yourself (which I do not recommend, messing with the trigger group of any firearm should be left to the skilled and knowledgable) be forewarned that re-installing the hammer is a PITA without a jig to hold the assembly while you are doing it.
