It helps if you get the clothes/nappies sorted out in the evening and laid out on the sofa so you can just wake up and dress the dc rather than searching for tights/vest/matching socks.
My toddler watched far too much tv as my baby wanted to breastfeed constantly.
Prepare in advance lots of un-messy toddler lunches, stuffed pasta is great.
Bed/nap time is actually quite easy with both of them, we go to bed about an hour before we need to (we co-sleep) I feed the baby and he usually snoozes on the boob and I read books to the toddler, I then sit with the toddler whilst he falls asleep and then I get up with the baby.
Things which have really helped are a sling, we have a moby wrap and it's great as the baby sleeps and I have both hands to cook/bath toddler and a moving mobile, we have a little cot in the kitchen and the baby is hypnotized by the spinning mobile, it gives me the chance to sit and eat lunch or dress the toddler.
I sometimes have a bath with both dc, I get everything ready in the bathroom (pjs, nappy) and lay out the babies towel on a changing mat, booth dc love the bath so we spend ages in it and then when it's time to get out I get out with the baby and wrap him in his towel on the changing mat, I then quickly dry myself and put pjs on then dress the baby then I take toddler out of the bath and dry and dress him and brush his teeth.
I catch up with sleep at the weekends, dp gets up with both dc between 5.30 and 6 and I sleep until 9, it's bliss!
I have found it helpful to lower my standards hugely, the toddler has watched hours and hours of tv, he's sometimes eaten his lunch watching tv (pre-baby we were strict about all meals being eaten up to the table) dp has arrived home in the evening and we have all still been in our pjs, about 50% of our meals have been stuffed pasta. Our house has often been a tip.
The baby is now 3 months old and things are already so much easier, he's really happy sitting in a bouncy chair and watching the toddler play, the toddler likes to set up a picnic for his teddies and the baby, they play with musical instruments together and the baby doesn't feed constantly anymore, tv time is getting less and less and I'm even managing to keep on top of cooking and cleaning.