LOMC cartridges are generally thought to provide higher quality playback. This is not simply my opinion but a concensus. Many in his particular group here @ Audiocircle lean in favor of MM cartridges. The costing involved is obviously much more attractive. There are those who find the Grado cartridges, TCG is noteworthy, as being a very attractive option. I don't happen to share those views.
Not only is the price of good LOMC carts much higher than MM cart (and I include Grado Moving iron in this category) but the signal must be amplified more and that requires either step up transformer (SUT) or a head amp to work properly. There are those who view this as a problem.
Essentially, you need to actually hear the differences to make a valid choice. The logical starting point would be the less costly one, should you find analog not to be a good fit for you. I personally like the Technics 12XX line and w/o any reservations urge any newcomer to vinyl to Check out the KAB website. The TT are easy to work with, all the setup controls are easy to work with and Kevin is dead honest and easy to work with.