Hi
One very real caution here:
You are looking at AC and not DC. A gizmo rated at 10KV AC is not the same as a 10KV DC gizmo. You have a 1.414 factor between the two and in this case it matters. For a 10KV AC circuit, the isolation at DC needs to be 14 KV.
Since somebody could get killed .... an error on the "high side" is probably worth the extra couple of bucks.
What's in a high voltage probe:
If you take a hammer to the thing, you will find a high voltage resistor. It's calculated to work with the input impedance of a specific meter to scale the voltage. Put the "wrong" impedance on the other side and you get the wrong number. For instance, a 10 Meg input impedance used to be pretty common. A 10 KV to 100V probe needs a 100:1 step down. One way to do this is just to put a 10M x 100 = 1 Gig ohm resistor in the probe. Net result = you may have a meter, you may have a probe, if they don't match up ... watch out. Also be really careful of the red wire out of the probe.
Bob