There are, or course, two schools of thought on determining exposure & contrast: highlights first or shadows first. These schools are both right and wrong (I think you can say that about most schools of thought).
When producing a softer grade print where the yellow/green exposure is dominant then it is best to determine the highlight exposure first using the yellow/green filter. A dominant soft exposure will effect the shadows, but the shadow exposure won't effect the highlights. Determining the shadow exposure second has the advantage that the soft exposure has already had its effect on the shadows.
When producing a harder grade print the procedure is reversed. The dominant high contrast blue/magenta exposure for the shadows will effect the highlights. So the high contrast shadow blue/magenta exposure determination is made first, followed by the low contrast highlight exposure determination.
People who propound the highlights first method find it works best for them - and that's because they develop their negatives to a higher CI and print at low contrast. People who propound the shadows first method develop their negatives to a lower CI and find their way works best.
For normal CI negatives either method will work - highlights first or shadows first makes little difference.
When using contrast filters a midtones first strategy may be best. Determine the exposure for Z VI (varies a bit with different papers) and then play around with the filters to get the contrast you like. Ilford makes their filters with a bit of neutral density to balance the effective printing speed between grades. The cross-over points for MGIV RC are at 0.55OD (Zone VI - skin is at 0.47) for grades 00-3.5 and at ~1.0 OD (Zone IV - between 18% & shadows) for grades 4-5. For MGIV FBWT the cross-overs are at 0.9 OD (Z IV) and 2.2 OD (black). HD curves are available at
http://www.darkroomautomation.com/support/
As most of an image's interest lies in the mid-tones nailing them will produce an optimum print. After the midtones are settled then dodge and burn as needed to get the highlights and shadows into line. This strategy is anathema to the split-grade approach.
With VC papers I find that printing at higher contrast grades gives a better print as the paper's HD curve is more linear with a minimum of bumps and flat spots. I habitually overexpose/underdevelop (N-1 in ZS parlance) my film so I can print at a nominal grade 3.
We are, hopefully, printing for the pleasure of it and so printing should be done in the manner that makes you happy: highlights, midtones or shadows first.
I find I need to change my printing strategy often for different images: high key, low key; high contrast, low contrast; impact in the shadows, highlights, midtones; ...
Note that shadows and highlights when determining split grade exposures aren't the same as the Zone system's detailed highlights and shadows which are more in the midtone scheme of things. Split grade usually uses the lightest highlights with detail and the deepest shadows with detail; sometimes it uses the black and white points of an image.