I prefer proper boots often. They give more ankle support, arguably more traction and are just as waterproof if you have some tall ones (especially if you use a pair of Sealskins socks). But sometimes, wellies work. So for me, although I've got a posh looking pair for walking across nice, flat fields, here's another vote for Muckboots. They do give a bit of ankle support, are warm and water proof and easier to get in and out of compared to boots. But be careful on hard, wet surfaces!