If your supplier is from China, you can ask them to apply the certification to the lab for you.
If your supplier has no idea about certification, you can ask 3rd party company to one-stop help you arrange certification applying, toys sourcing, Toys prep, Toys shipping directly to Amazon FBA warehouse.
#1 www.TonySourcing.com this company start from the 2012 year, and they know all kind of toys from China very well. They can help you order toy items from manufacturers directly and just charge a small service fee. In that way, you get better price and service than buying from other traders.