I just wanted to wish you loads of luck....and your right, sleep depo reall does play with your moods...it does effect everything in your day to day life, and i can sooo understand what you are saying i.e not feeling much like being a good mummy. I think we all have those days - but to be having very little sleep every night, i can understand why yo ufeel like you do.
My only advice...for the first 3-4 nights you will want to chuck it all in, at 2am when
DS wants booby, or
DD wants the dummy, you will be sooooooo tempted to give it to them. Stick to your rules. I read something somewhere where it said kids only need a new routine done 2-3 nights in a row, and they will adapt to the new habit......

..i dunno if it bears any truth - hoping it does for you.
Hoping the plan goes well....