Alis Apart from the above ^^, tampons are very, ahem, drying... Basically they leach all the moisture out of you, and disrupt the Ph balance etc too.
Some women find they bleed less with a Mooncup, with shorter and lighter periods.
There are quite a few Mooncup alternatives out there, Meluna etc, with different softnesses and capacity, and different base styles depending on what you find easiest for removal (stem, ball, ring).
I've just had my first Mooncup cycle, not a 100% success, but next month will def be easier, and I am definitely looking forward to a summer without pads - yeuch at the memory! So much cleaner. :)
I reckon a lot of what puts people off (once they've got over the initial "what??!") is that it's a learning curve - and who the hell wants mishaps during a period? It is worth it tho.
I only heard about Mooncups six months ago, can't believe I've been using sanpro for twenty years without knowing there were alternatives.