My other tip (from 16 years ago) is to start the whole thing earlier than you think you have to. My DS's bedtime was more like 7:30-8pm but I sometimes had them both in the bath by 5:45, before everyone got too tired. Also lay out the night clothes in the morning when baby is sleeping and toddler may be less fractious. So our routine with a 2.5 year old and a 2-3 month old was:
6:30 everybody awake
6:45 Coffee for adults, juice for toddler breast feed baby in bed.
7 am Husband through shower and dress
7:15 Husband dresses toddler and takes both down stairs, while I shower and dress
7:30 Breakfast for everyone, baby in bouncer
8:00 teeth
8:15 Husband leaves, DS plays while I clear up breakfast.
8:30-9 Baby down for nap, I prep dinner (eg peel spuds etc) , make lunchtime bottle, pack bag, maybe have second coffee,lay out night clothes, towels etc. DS watches "Thomas"
9-9:15 wake baby or baby wakes, quick breast feed. Nappy change for both children
9:30 Leave house
9:30- 12 Morning activity
12pm Home or lunch out, breast feed baby or bottle if out
12:30-2ish Change everybody's nappy. Baby sleep. Special time with Ds craft, cooking, playing with small toys, jigsaws etc. If out try to be on train/ bus or similar, read books together/skicker book etc.
2ish wake baby or baby wakes. Breastfeed or bottle, snack for toddler,coffee for Mum
2:30-3pm smaller, shorter outing eg: local shops, or if out museum/ padding pool
4:30 Home wake baby if not awake. Table top activity for toddler (play dough, colouring) while I prepare dinner.
5pm dinner sit at table and breastfeed baby
5:30 TV for toddler, clear away dinner
6pm upstairs and in bath
6:15pm baby out dried and dressed on bathroom floor. Breastfeed while toddler finishes bath.
6:30 Baby into moses basket.
Toddler out of bath, dried and dressed for bed
6:45 If baby sleeping then toddler stories, if not then all downstairs for more TV and breastfeeding, hopefully one or both fall asleep/ DH comes home.