A moisture meter is a good way and they are not terribly expensive.
Something like this for example.
You can get scientific if you have an accurate scale. Take a piece of wood and weigh it, then put it in the oven and bake it for a couple hours at 225 F. Take it out and weigh it again and see how much moisture it has lost. Repeat until the change it weight it negligible.
You could also try this method.
If you are unable to watch that, you put a squirt of dish soap on a piece of firewood and blow on the other end. If it blows bubbles then the wood is considered dry, or less than 18% moisture. If you can't blow bubbles through it, it's to green.
I'm curious how different wood varieties react to that test though...