My experience:
I am currently studying with a baby and a toddler. DS was born in Nov and I started full time in Feb. I studied externally, not sure if that's an option for you? I am now on campus and bub is 8 months and toddler is 2yrs 8 months. I have resigned myself to not getting work done during the day and that is working well. I study when the kids are in bed at night and on weekends. Do you have a lot of support? A partner to take over caring for the kids on the weekends? Family that could come over once or twice a week while you do assignments if need be? It's full on and exhausting but achievable. I have studied with newborns and toddlers and both have their cons. I am still only getting 3-4hrs sleep a night because my 8 month old doesn't sleep and hasn't slept. They're both demanding in their own way. Babies don't necessarily have two three big long sleeps a day. It depends on how you cope with sleep deprivation and stress etc. It was hardest when I had my first than what it is now with a baby and toddler as a baby is a massive life change without Uni on top. You can do it! Good luck