/ai/ in BE. In the context of cosmopolitan tea drinking, some people pronounce it with four syllables and an /i:/, but this is an affectation.
"lippity" is a word - perhaps invented by Beatrix Potter (?) - to refer to a rabbit's normal gait.
b
ps - I've now listened to that story (read by Chuck Brown - definitely not BE). My 'normal gait' was misleading, I think. The normal gait is traditionally represented as 'lippity-lop' (maybe on the analogy of "clippety-clop" for horses). The repetition of "lippity" suggests a reduced bounciness - maybe Peter is even limping with tiredness.
And I overlooked your last request; your English is generally fine

though the first sentence should be "I found [omit this "out"] that
the word "camomile" is
pronounced with an "ai" [I'd have clarified a bit here - maybe "with an /ai/ in the last syllable"; otherwise, the word "pronounced" (without 'an') suggests you're going to give the pronunciation of the whole word.]