As for storing the chants. They keep best when they are kept in either paper bags or cardboard boxes in the fridge. Like all other mushrooms, do NOT store them in plastic bags or containers of any sort. The mushrooms produce a gas that gets trapped by the plastic and begins to break them down. After a day or two all you have left is a mushy mess. Also, do NOT clean them prior to storage and they will last longer. In a paper bag they start to dry a bit in 3 to 5 days but you can still find good ones (or good pieces) for up to ten days. In a box, they can last two, three, even four weeks depending on how fresh they were when picked.
As for preserving chanterelles, I haven't found a good method for freezing them. I have tried sticking them straight in the freezer fresh (like you can do with hen of the woods) and I have tried precooking them a bit first (the way I prepare fried morels to be frozen) and both left me with a much mushier mushroom than I desired once thawed and cooked.