This is an excellent question and so well set out. You have pinpointed more than enough reasons for your daughter's difficult behaviour. She is a bit 'old' for temper tantrums now so this is evidence of rather babyish and regressive behaviour probably as a result of some attention seeking with her new sister.Moving homes is very traumatic for this age group and is a strong contributing factor. You have tried all the usual methods to try to control her tantrums with no success.Of interest is that she shows no remorse for her behaviour. It would be best to consult a child psychologist for advice as I am concerned that 'time outs' will only aggravate her behaviour.
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