I also have more than one multimeter, but they are all old (kinda like me) and the probes are long enough. I'm not surprised if, as @wa8yxm suggests, newer meters have short probes for the very reason he suggests.
Be that as it may, perhaps getting a suitable plug and wiring up a dedicated testing probe is in order. One that is carefully and properly insulated so you don't kill yourself, obviously. Maybe taking a pair of probe leads, cutting off the probe ends and wiring them into a plug, so that you can connect the meter, plug into the circuit, read voltage, unplug from circuit, and only then unplug the multimeter? How you do it is obviously flexible depending on equipment at hand.
Good luck figuring out what to do. Be safe!