Zone System is meant to be used with a handheld meter! So just describe your meter or tell what model it is and someone here can tell you how to use it with the Zone System. Many of them work with a sticker that you can make yourself.
Spotmeters are best but if it is not a spotmeter, then you can walk right up to the thing you are metering and read very close to it (try not to put your shadow in the meter reading).
ps welcome erick and newtorf!