I've had several Monarchs. Very pleased with all of them, and I can recommend them easily. Never even laid eyes on a Meuller, so I can't say anything about them. Before I bought my first Monarch, I compared it to a Zeiss Conquest, and couldn't see enough difference to lay out the extra $$$. Also you might think about the Nikon Buckmasters, Weaver Classic and Grand Slam, Sightron SII and the Elite 3200's in addition to Zachary's recommendations. I've used all of those too, and have been completely satisfied, enough to buy them again. Especially the Grand Slam and the Sightron.