Mallarky,
distraction is the key, and making it into a game, and most importantly (and most difficultly I find) not to give in to the frustration... dd used to go into howling attacks if e.g. I tried and put some clothes on here she deemed unfit to wear (as not pink).
re 'yes it is' 'no it's not'... I just mimicked her for a while which drove her up the wall - I'm so mean! She still does it now but as a joke... e.g. if I say 'oh you drew a lovely flower' she goes 'no it's a daffodile' so I say 'yes but a d is a flower'...'no it's not' followed by huge giggle.
Sparkles suggestions will work to some degree I'm sure.
Unfortunately toddlers and small kids don't come with a 'well behave button' no matter how much I wished for it in my dd
.
Repeat after me... it's only a phase, it's only a phase.
As for cleaning teeth, being noisy when siblings asleep... it sounds so familiar. Solved the teeth problem with LazyTown!!! One of the episodes has a 20 times song and now dd cleans her teeth. Also told her that her teeth will fall out and she'll be ugly if she doesn't brush them... that worked too 
sorry if I rambled on and not making much sense ... suffering from hangover :)