Humoral immunity involves antigen recognition followed by conversion of B lymphocytes to plasma cells [rich in ER and mitochondria - work out why], and these synthesize antibodies [Y-shaped proteins each molecule of which is made of two light chains of polypeptides and two heavy chains [go to google images] - this antibody then neutralizes, conglomerates or precipitates the antigen thus deactivating the pathogen. [antibodies are divided into five main classes e.g. IgG [immunoglobulin G] is a small antibody molecule that is made in large amounts and can cross the placenta to protect the baby; IgM has 5 binding sites for antigen [large molecule] and is usually the first type generated by plasma cells.
Cell-mediated immunity involves exactly that: phagocytosis of the pathogenic organism by T lymphocytes, neutrophil leukocytes and macrophages. It is particularly important in viral infections, partly cos viruses are minute so easily engulfed. e.g. the AIDS virus attacks these T cells, and one of its main clinical features is fulminating viral infections e.g. toxoplasmosis; cytomegalovirus infection.
Hope this helps: also look up [esp for A* in synoptic Q] IgA in secretions; dendritic cells; antigen recognition cells; memory cells; killer T cells; helper T cells.
Hope this gets the ball rolling for you!