My ex-wife's OB/GYN recommends these for when the baby pops out:
https://smile.amazon.com/Wilson-A1000-CM33-Catchers-Mitt/dp/B07FQQFMG2/ref=sr_1_3?dchild=1&keywords=catchers%27s+mitt&qid=1597464715&sr=8-3
Obviously our child is named "Wilson".