Weather is the state of the atmosphere at a given place at a specific time period.
Climate is the average state of the atmosphere over a long period of time at a given place.

Fur The Animals' fur protect the animals from cold. 
Shedding Animals sometimes shed their fur because of heat. It grows back towards the winter.
Hibernation Some animals take in a huge amount of fat, store it, and goes to sleep during the winter. They hibernate for months till the climate has improved.
Storing Water Some animals that live in the desert store water in a pouch in their bellies, and fat with it. Now they can go for months without water.