MT are awesome in: slush, deep pow, dense snow, untracked, ect. They turn to sh!t as soon as the aforementioned snow gets compacted and/or turns to ice.
Winter type rubber compounds and massive siping take care of the latter. I have winter tires and AT's that fair far better for all around winter driving.
Most often conditions are compacted and icy, or sloppy and a mix, at least around here, or anywhere you have a moderate amount of traffic.
If you are lucky enough to live in BFE rural areas then a MT may make more sense if a majority of your conditions are the first mentioned.
I just happened to be in the market for a fresh set of shoes too

I see two choices, at least for me. First another set of dedicated winter rubber (i've done this before, it is just expensive), and mount up a second set of MT's in the spring (I've got a second set of wheels), or just get a single set of AT's... yet again. Hard decision when you don't drive a lot (mostly skiing, winter treks, off-road, and camping) Two sets is a good ten years of tires... if the rubber lasts that long.
EDIT: I see you mentioned you've never driven on snow before, and you want safety first, I would choose a more conservative tire, if not a winter get a good AT (that you can drive year round and still get good offroad performance too)