Anemia = low blood count, most likely from iron deficiency, less commonly vitamin deficiency.
Easy bruising is different, and MAY result from a problem with your clotting factors in your blood, including platelet function.
Best easy test is a CBC, or complete blood count. This gives you a number of white cells, red cells, and platelet count. Coagulation (clotting tests) are more indirect and can tell you if there is a deficiency there.
Hematology is quite complex and the answers are longer than the patience I have to type them. See a doctor, prepare for some blood work, and give a detailed history.