You will need the items shown above for washing up,but don't use the scourer on non-stick pans. You may find washing soda crystals more convenient to use than liquid,as a small quantity can be kept in a plastic bag and you only need one spoonful at a time.
Dry everything with a tea towel. Start with the plates so that other things can be stacked on top as shown here.
When you finish,hang tea towels out to dry. Put things away so that they are always in the same place and can be found again.