Chinese to Japanese name

My name in Chinese is pronouced 'Chee' (last name) 'Yee' (first name). I live in Canada and spell my name 'Qi Yi'. The closest kanji in Japanese are:
祁 (chee) and 逸 (yee)
http://jisho.org/kanji/details/祁
http://jisho.org/kanji/details/逸

However, none of the readings for these kanji match the reading for my name in Chinese.

So my question is, what would be the best way to translate my name from Chinese to Japanese? Should I use Kanji or Katakana (チ　イ), or something else?

祁 逸 is キ イツ(Ki Itsu) in Japanese Kanji.
I think maybe you will be often called 礼 逸 レイ イツ(Rei Itsu) by mistake.
Because 祁(Ki) is very rare Kanji in Japan.

BTW, 莫言 who won the Nobel prize for literature is called バク ゲン(Baku Gen) in Japanese Kanji.

Or of course, you can introduce yourself as チー イー in Japanese Katakana.

Thanks. What do you think would be best to put on official documents? (bank account, work visa application etc...)

Oh, sorry I don't know about that.

But I think you should put on official documents
"祁 逸", "chee yee", and if necessary "チー イー".
Because that's your true name.

The other side, name in Japanese is just easy to read/pronounce for Japanese from your kindness.

But I can't provide no guarantees..., so sorry.