As far as I know, and, if my wife told me correctly, there are various conditions on shipping the parcel based on the country where you live.

For US, Canada, Australia and NZ: 10-16 business days;

UK, Europe and other countries: 11-16 business days;

The processing time is around 1-5 business days. Of course everything is approximately, but in fact, they often deliver parcels quicker.

I never had delays when ordered some stuff here.

It all depends on what country you are in. I can say that despite long distances, orders come very quickly. It is also essential that all goods are carefully packaged.
I have ordered some toys for my baby several times, and each time my order was delivered very quickly and intact. So I am not worried when I order something here. Also, if I am not mistaken, they have warranty. So in case of unforeseen situations, company will make sure that you and your baby are not upset