Those slang can be an old man's or country man's dialect that epecially appears in an old stories(like folk tale).
yes, "tte yuu"--> tyu=chu (shortened)
If I may, let me add something to Karamucho's translation.
おっ。。。アレか?自分探し!っちゅ~やつか
Literal: Oh...Is that IT? "Finding yourself"!, or something you may call?
はよ言わんかい!
Literal: You should've told me sooner!
Right, as Karamucho mentioned above, "~chuu" and "Hayo iwan'kai", I think, is a dialect used in western Japan. (I speak Osaka-ben and I actually often say it.)
Also, EE in "運がええ" sounds also Osaka-ben, which means "いい" in standard Japanese or "good" (in this context, "your luck is good" = "you're lucky") in English.
@Karamuucho
So, you understand Osaka-ben, too, eh?
Aww, I missed Chickie-san's post.
Yes, I agree.