I have a 710 and have handled the Police, I also have 4 Militaries which are similar.
710:
- more pocket friends carries much smaller and slimmer
- D2 will hold an edge better than VG-10, but is also harder to sharpen
- I'd say its the better EDC of the two
Police:
- has a FFG which I prefer for almost all tasks, will certainly be better for food prep
- VG-10 is a true stainless and combined with the longer blade and FFG make this the better food prep knife by far IMO
- very long handle and blade, however nice and slim so does carry well for its size.
I guess it depends on what percentage you plan on using it for food prep while EDCing, the Police is a better food prep knife and good edc blade, the 710 is better edc blade and decent food prep knife, I'd also look at the Military as its a bit of a middle ground between these too, has a true stainless steel, ffg, not as long as the Police. You could also look at the M390 version of the 710 as its very stainless, more so than S30V or VG10 and will hold an edge longer than any of the other steels mentioned (D2, S30V, VG10).
Sorry don't have a Police to photograph, but here's a 710 and Military along with some others to compare size with.