Knowing a few random words in Estonian may not help you talk intelligently on any number of topics, but it can give you a sense of satisfaction that at least you're not the most ignorant tourist out there. Try these on for size:
Pilet - Ticket
Raha - Money
Vesi - Water
Õlu - Beer
Vein - Wine
Kohv - Coffee
Arve - Bill
Tänav - Street
Kui palju see maksab? - How much does this cost?
Kas te räägite inglise keelt? - Do you speak English?
Estonian uses the Latin alphabet minus c, f, x, and y and with the addition of a few extra letters, created with the help of some sinister-looking dots and squiqqles. The latter are pronounced in the following way: ä is strong like the a in cat, ü like boot, ö is like o in word, õ like o in open. Double vowels keep the same sound but are enunciated for slightly longer. The consonants are similar to English, though softer, and the letter 'j' is pronounced like y in English. The stress falls on the first syllable.
So there's your crash course, now it's time to get cracking! Below are a few words to test out on the locals. They're unlikely to be impressed, but you never know - they might just be charmed!