I have a few kitchen items that have become chipped from use (such as pint glasses and mixing bowls) and I would like to sand them to make the edges dull so they are safe to use again.
I saw the question that asked about sanding hand cut glass, but most of the answers talked about using electric tools and techniques. I would like to do it by hand because the pieces are not flat (oddly shaped), and not very large; a machine tool would be overkill.
What grit type of sand paper or other hand tools will help me with this task?
You would use a hand held diamond file. They are sold specifically for the purpose you are describing (fixing chipped articles). There are a number of articles and videos online which detail the process and specify which files to use (flat, rounded, etc.).
You can use emery cloth to sand down the sharp edges on glass. Medium to fine grit as superfine would take more work and large grit will just make scratches in the glass. Depending on how much area you are working and how smooth you want to go you may need to use a few stages with rougher to finer grit emery.
The emery cloth, being flexible, will be good for those oddly shaped areas and I do not think you would need to use any lubrication. Maybe water to rinse away the glass dust...