My cats have been okay with all my kids. I don't worry over a little cat hair and let them sleep in their things when the baby isn't in them. I have at least 40 blankets and just exchange blankets when they've been there. A good washer and dryer ends that concern.
We have 4 cats right now. 3 have the front claws removed. The 4th does not. She's scratched my grandson a few times because of the way he plays with her and because she's young. But my daycare kids have not even bothered her. I can also see how careful she tries to be. We file her nails down often too and started when she was tiny so she doesn't mind.
Our 15 year old cat has been through dozens of children in the daycare. They carry him around, lay on him, and he's never gotten upset with them. In fact, he loves them and sleeps with them when they sleep. The only time he ever got in a babies face was with my 4th daughter. We were driving across the country with them and he kept laying on top of her. I'd freak out and have to get my daughter to move him. She was only 2 weeks old and he didn't realize how big he was.
I do believe cats and kids are mostly safe. A few scratches never hurt anyone that bad and kids need to learn how to treat animals.