Can't help you with the mop.

But, if you have a wok burner, or a stove capable of achieving the kind of heat you need for a wok, then you want a proper steel wok. Season it well when you first get it and keep it oiled or it will go rusty, but it will never fail you and will last a lifetime.
If you don't have high heat on your stove, you are better off getting an electric on. The Sunbeam Wok is fabulous, huge, has a lid, super hot and you can cook anything in it. Loved mine.

HTH