Someone suggested to post some pictures of where we have been staying for the last month. Our apartment is in a great location. It is a 5-7 minute walk to the Serbian Ministry building, 15 minute walk to the US Embassy, 20-25 minute walk to the orphanage, 30-35 minute walk to the pedestrian zone, and 40 minute walk to the Kalemegdan Fortress. There is a small store 3 buildings down from the apartment, with a money exchange place next door to the store. There is a pharmacy where you can find all your essential toiletries, so no need to pack all those if you don't want. There are several larger grocery stores withing a 10 minute walk.
We have enjoyed the apartment and would suggest the apartment to anyone coming to Belgrade to adopt or for vacation!