What I end up doing is based on what's in the photos. For instance, I process files from a trip to the zoo different than photos from an ice show. Anyhow...
If I don't like the overall color or tone of the image, I'll play with WB and/or camera calibration. I'll note that "adobe standard" really blows out saturated reds. I find "camera standard" much better for that. For pictures with crowds, "portrait" calibration brings out flesh tones (though sometimes too much). The "landscape" setting makes greens and blues pop. By trying each of these, you can get some nice results for images you weren't initially fond of.
Then, I work my way from the top of the settings downward.
For the 1DX, I find that Shadows at +50 to 75 -- especially for bright outdoor scenes -- helps bring out detail.
I'll drop vibrance back a bit for high ISO, low light images. Otherwise, colors tend to feel muddy.
In order to "fill the histogram" (when that's appropriate to do), I've found that "exposure" often blows things out too much for my taste (ruining the darks). So I often use "white" and "highlights." When those don't work, I'll open the tone curve and drag the upper right edge of the curve toward the left until the histogram is filled. This often produces much nicer results while preserving overall tonality.
Your mileage may vary