You could also buy a really inexpensive aluminum pot at a Smart 'n Final or other restaurant supply store. Just remember to 'season' it by boiling water in it first. That way you don't have to mess around with the partial boil thing.
You could also go over too the classifieds and buy the wort chiller I've got on sale so you don't have to mess around with the ice.

I'm just sayin'
Welcome to the hobby. I hope you enjoy it as much as I do.