Properly disposing of contaminated sharps requires a puncture-proof container that is correctly identified as a bio-hazardous waste receptacle. The size of the sharps container is determined by the amount of room and the size of the items you'll be placing in it.
Small container that will easily handle insulin syringes and small bits of glass. This is probably fine for almost any household
first aid kit.
This is a very large container that is probably not necessary for home first aid kits. First aid squads or industrial applications would be more likely to use a sharps container of this size.