Put on gloves and eye glasses for protection.

Make sure the car is not running.

Remove the bracket that holds the battery snug inside the compartment.

Remove the (-) cable first, than the (+) cable.

Take out the battery.

Clean the base and the connectors from any acid buildup with baking soda.

Put the new battery onto the base tray.

Connect the (+) cable first, than the (-) cable.

Reattach the bracket to make the battery is secure under the hood.

Take the old battery to the nearest automotive store for recycling. If you bought the new battery from them, they will refund you for the "core charge", the recycling fee placed on new battery purchases, to incentivise you to recycle the old battery.