The opening has one Egg, but that may be just a visualisation of Ripley's cryosleep fever dream. As the audience is informed afterwards by Ripley's dialogue.
There was definitely one or two Facehuggers, one infected Ripley on the ship and one infected an animal on the planet.
TL;DR
1992 Cut: Two Facehuggers,
one on the ship, one on the planet.
2010 Cut: One "Super" Facehugger.