Correct Bit for Drilling Ceramics

My wife wants me to drill some very small holes into some decorative pieces of ceramic. I'd like the holes to be 1/16". I've been doing a ton of research online and there seems to be lots of opinions as to what kind of bit to use. Also, don't own a dremel tool which leaves me with a cordless drill driver or my friend's drill press. I should also add eventually I'm going to be asked to drill into glass. Can I get some advice on this - especially given the small size of the bits?