Airport is right at the city border. It is easily reachable by car, public transport or taxi. More information is available at airport website.
Google Transit is available in Málaga. So you can find your way in Google Maps. Moreover, you can download any of the offline public transit apps available for Málaga.
Málaga is well known for its turism, and has lots of great hotels and hostels. Have a look online in your favorite travel website and choose any of the enchanting places you can find around!