Good guidance above.
I own two Belgium P35s, but remember John Moses Browning worked on the initial design right at 100 years ago. I think High Powers are cool, but they were designed for a French Army specification dating to the Warren G Harding administration. I have one of my High Powers off to a gunsmith for $1000 of updating to make it a defense-ready pistol (hollow points, night sites, etc.).
The CZs were product improved High Powers in many ways, mostly adding better triggers and double action. They are also circa 1970s design and have been consistently product improved. The Czechs have done well, being the armorers of choice for hundreds of years.
I don't own a CZs, mostly because my hands just don't work with their double action trigger length. My shooting experience with the CZs is a L Frame revolver shooter used to double action would have zero issues. The CZ compact is also a sweet spot gun - weighty enough to absorb recoil, well balanced and readily concealable.
You really can't lose with the options. As Growr mentioned, the CZ Compact is a great concealable gun. Either would be great as a pointer/target gun and likely have comparable inherent accuracy.