Hi, Pete. The best way to reach the center of the city is bus No.2. You can also take a taxi from the airport. It is only 3 km. I am going to take you to wonderful places. Don't worry! We' ll go to the beach and national park Lahemaa. You should bring some sunscreen, but you should also bring warm clothes for the evening. With best wishes, Christian.
P.S. You can buy here everything that you need. That is why, don't worry if you forget something.