All people in Ukraine understand russian. Here are some russian phrases.
Basic Expressions
Greetings
Доброе утро Dobraye ootro Good morning
Добрый день Dobriy den' Good afternoon
Добрый вечер Dobriy vyecher Good evening
Здравствуйте Zdrastvooyte Hello
Привет! Preevyet Hi!
Рад тебя видеть Rat teebya veedet' Nice to see you!
Как поживаешь? Kak pazhivayesh? How are you?
Спасибо, прекрасно! Spaseeba preekrasna! Fine, thanks!
Неплохо! Neeploha! Not so bad
Как Вас зовут? Kak vas zavoot? What's your name?
Меня зовут... Meenya zavoot... My name is...
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Thanks
Спасибо Spaseeba Thank you
Большое спасибо Bal'shoye spaseeba Thank you very much.
Не за что Nyezashta That's all right
Пожалуйста Pazhalooysta You're welcome
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Apologies
Извините Eezveeneete Sorry!
Простите Prasteete Excuse me
Ничего, ничего, пожалуйста Neechevo, neechevo, pazhaloosta That's all right
Ничего страшного Neechevo srashnava No harm
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Saying good-bye
К сожалению, мне (нам) пора идти K sazhalyeneeyoo mnye (nam) para eettee I'm sorry I (we) should be going
До свидания! Da sveedaneeya Good-bye!
Пока! Paka Bye-bye!
Увидимся Ooveedeemsya See you
Счастливого пути! Schasleevava pootee Have a nice trip!
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Speaking
Вы говорите по-английски? Vi gavareetye pa angleeskee? Do you speak English?
Я плохо говорю по-русски Ya plokha gavaryoo pa rooskee My Russian is bad
Говорите, пожалуйста, медленнее Gavareetye pazhalooysta myedleeney Could you speak more slowly?
Я не понимаю Ya nee paneemayoo I don't understand
Я понимаю Ya paneemayoo I understand
Well, the best Russian-English pocket dictionary that I've found is the BARRON'S Russian Vocabulary by Eli Hinkel. 6000 words and expressions, with good pronounciation guide, divided into useful subject themes.
Runner-up would be HARRAP'S Russian Phrasebook, although it's written by a Brit, for Brits (hence, in their colloquial section, they define such bizzarisms as 'barmy', 'bird', 'nutter', 'thickie', etc.)
Again, these pocket dictionaries aren't for Ukrainian, but a large percentage of Ukrainians speak Russian, and I've been told that most understand it in any case.
I have found some Ucranian phrases in
http://travlang.com/languages/cgi-bin/langchoice.cgi
How much does this cost? = skil'ky tse koshtuye? (36834 bytes)
What is this? = shcho tse ye? (23655 bytes)
I'll buy it. = ya tse kupl'u. (27514 bytes)
I would like to buy ... = ya khotivby kupyty ... (36092 bytes)
Do you have ... = chy vy mayete ... ? (26816 bytes)
Do you accept credit cards? = chy vy pryy'mayete kredytovi kartky? (50920 bytes)
Open = vidkryto (16913 bytes)
Closed = zachyneno (19113 bytes)
Postcard = poshtova kartka (26545 bytes)
Stamps = poshtovi znachky (29202 bytes)
A little = trokhy (10823 bytes)
A lot = bahato (14288 bytes)
All = vse (11274 bytes)