Aah, mornings, my favourite time of the day!
Like you, I had a strictly no TV in the mornings rule but I have now cunningly incorporated it into the routine and it seems to be working...
FWIW, here's ours (ds 5, dd1 3, dd2 18 mths):
6.45: I stumble out of bed, shower then go downstairs and make a cup of tea. DH is long gone (leaves at 6.15).
7.05: stumble back upstairs and get dd2 up and dressed. Wake the other two.
7.10-7.30: get dressed and encourage ds and dd1 to dress themselves (!). Have reached a compromise with ds that he'll do his socks and jumper after breakfast (don't know why this is important to him).
7.30-7.50: breakfast for kids, me unpacking dishwasher and making lunches.
7.50: ds upstairs to do teeth, face, socks and jumper.
8.00: me upstairs with dd1 and dd2 to do their teeth and faces.
8.00-8.15: I tidy upstairs, they faff around a bit.
8.15: they can watch 10 mins of CBeebies if they put their coats and shoes on first. Brush hair
8.25: waft elegantly out of door.
Worked very well this morning, but we'll see...
BTW, sorry this is so long!