These kinds of things happen every day. This kind of thing happens every day. Singular and plural :)

THIS kind of THING happenS every day. These kinds of things happen every day.

Some people use 'kind' and some use 'type'. So, you may hear both of them in conversation. This kind/type of thing happens every day. These kinds/types of things happen every day. This is the kind/type of thing that happens every day These are the kinds/types of things that happen every day.