Medical research shows that bike helmets reduce or prevent most of cyclists’ head injuries. When you pick up a helmet, look first for a CPSC sticker inside and a smooth, well-rounded shell with a bright color outside. https://helmets.org/buying.htm
Many child helmets come with two or even three sets of foam fitting pads. You can start with thick pads and use the thinner pads as your child’s head grows. All helmets sold in the U.S. must meet the US Consumer Product Safety Commission CPSC standard and state that on a sticker. https://helmets.org/childpam.htm