Joel, there are many different kinds of skimmers.
In the simplest form, a pump feeds water into the skimmer body and air is introduced via an airstone and air pump.
A needle-wheel or mesh-wheel pump can be used to feed a skimmer or recirculate water through the skimmer body. You first need to get a better understanding of how skimmers work before you set out to build one.
A venturi can be used on the output side of a pump, where the pressure from the pump drives water into its throat. The throat restriction causes the water to speed up and drop in pressure. The pressure drop allows air to be pulled into the through via a vent. You would need something AFTER the venturi to chop up the air. This not normaly done, as it is inefficient.
A venturi can also be used in an aspirating role, where it is placed on the input side of the pump. In this role the suction head from the pump pulls water through the thoat and also helps to create suction on the air intake. The air is then chopped by the pump before being pushed into the skimmer body.