In this paper we discuss several operator ideal properties for so called Carleson embeddings of tent spaces into specific L^q(μ)-spaces, where μ is a Carleson measure on the complex unit disc. Characterizingabsolutely q-summing, absolutely continuous and q-integral Carleson embeddings in terms of the underlyingmeasure is our main topic. The presented results extend and integrate results especially known for composition operators on Hardy spaces as well as embeddingtheorems for function spaces of similar kind.