Hi, my DC and our cats have got on very well - they each have had their own relationships develop and it's been lovely to watch. Our cats were 14 when DC was born.
Cat 1's initial reaction was "this is terrible". He spent a week hiding under the sofa and only coming out when he knew DC and I weren't around (I knew he'd be ok - this is just what he does when new people or animals arrive). He got lots of attention from DH though. Then, one day he just decided that he loves DC and they've been really close ever since. One of DC's first words was 'Kitty'. It helps that Cat 1 is pretty chilled and doesn't respond aggressively to pretty much anything. We're still vigilant of course.
Cat 2 (now deceased - not DC's fault!) was confused. Her main hobby in life was hunting and suddenly there was a small hairless screaming life-form that made weird smells that she wasn't allowed to hunt. We were clear and consistent that DC was not food, and once DC was mobile they got on really well because they both enjoyed chasing each other around the flat. It also turned out that Cat 2 had been eating a lot of DC's vegetables, which we discovered when Cat 2 died and DC had to look for new ways to hide unwanted food.
Our situation was slightly different in that the cats were here before the baby, but some things we found and find helpful have been...
Cats get stressed easily and a stressed cat can be more likely to lash out or behave unpredictably. We did gradual introductions with lots of praise for the cats, making sure they could easily leave the area and had access to hiding places.
Feliway is great. We don't have it on all the time, but used it at times of higher stress.
Never give cat and baby unsupervised access to each other. Neither will be particularly good at responding helpfully to the other, especially at first. If you're with them, try to be in a position where you can quickly intervene or sit between them.
No overnight access to each other because that can't be supervised when you're asleep.
Lots and lots of praise for cats and DC for every interaction.
I'd suggest getting familiar with the cat in advance and considering their personality, preferences and history. The more you know, the better you'll be at picking up on their early cues.