It depends on where you plan to be when it snows.
If you get snow in Texas where it is warmer than most of the states, then I would suggest the same as the first person who answered you because she is experienced with the weather in that state.
If you are going to be visiting or moving to a northern state where it snows quite a bit and the temperatures drop quite drastically, then you will still need a couple of layers, a snowsuit, boots with a couple pair of socks underneath, hat, gloves or mittens, and a scarf to cover the neck. The scarf should be wide enough to cover their mouth, too, if the temp is cold enough to bother them when they breathe.
Bring them inside at least every hour to undress from the outer layers, warm up with cocoa and a snack, and then head on back out if they want.
I grew up in Maine and we lived there for 9 years after our children were born so I'm quite used to the snow. :)
at 10:21 AM on Dec. 1, 2009