In the United States, "Toodles!" is a cutesy British way of saying "Bye bye!" I wouldn't use it in everyday conversation. I don't know what "tootles" is.

Cassell's Slang has toodle-/tootle-oo phr. [20C] goodbye (cf. TOODLE-PIP; TOOROO) [etymology: ? Standard English toot, the tooting of a horn, in this case as a coach moves off, or French à toute à l'heure, goodbye]toodle-pip phr. [1920s-30s] a nonsense word used to say goodbye (cf. TOODLE-OO)

I'd use ''toodles'' - as Nick said, it's a cute way of saying goodbye. In Australia, older people say ''hoo roo''.

Not thx b4, "thanks in advance" in English =)