We plan to sterilize bottles until he is 12 mo. Sippy cups we just wash because they have no milk in them. We have devoted one veggie crisper drawer in the frig to store the sterilized bottles.
To answer your question I would think the droplets of water are fine, especially if you are on city water. If on well water you might want to have it checked.
There is one thing I would recommend which many may think is overkill. I use a separate container to wash the only the baby's bottles. That way you don't have to worry as much about bacteria from greasy dirty dishes, glasses, and flatware.
If you don't have a sterilizer or time for the hassle, Walmart carries a 5 pack of microwave sterilizer bags, each bag is good for 20 uses. About $5.00.