Yes, I've got 3 too. Almost 3, 1.5 and 7 months. Age gaps of 15 months and 13 months.
I've got extremely easy children and they all slept through from about 3 months, so I can't say it's too hard (I'm lucky). But then I think the small age gaps made pregnancy easier, because small children can't do too much wrong and they take naps regularly. So you won't be pregnant and tired/feeling awful with a toddler who's dropped their nap.
When the older two get tantrums at the same time, that's quite fun, but otherwise it's fine.
Life can be hectic, but I think the older they get, the more similar their interests, so they'll entertain each other (or argue, I bet 😂).
Personally, I think it's far easier to deal with a newborn if you don't have commitments like a school run. Newborns can't wait, at all, so it's difficult to get them to fit into the schedule. If no-one really has fixed commitments, the day is much less stressful.
Just remember to put a toothbrush in the downstairs loo and a utility belt for mums with a dummy (if you use one), hankies, a muslin and anything else anyonemight need.
Before our last one was born, my husband said, "How the hell are we going to do this?" I said, "We'll wing it." And we have. Our smallest is really the easiest, sweetest girl there is and both adore her and she adores them.