Though the Admin API and the Store API serve very different purposes, they have some commonalities handy to be aware of.
For the Admin API these apply to the
/search endpoint, whilst for the Store API they apply to almost every endpoint that returns a list of records.
It starts with a very simple underlying concept, which encapsulates your entire search description in one generic object, referred to as the search criteria.
There are some additional instructions that can be specified using request headers.
Here you find a common approach regarding the way that Shopware provides endpoint references for its APIs: