As you can see, both "Bigfoot" and "Sasquatch" are used for the same creature, depending on where the name is used.
Student or Learner
Some say the Abominable Snowman is just a Sasquatch with its winter fur coloring.
I haven't heard Hairy One used. There's also Yeti instead of Abominable Snowman.
I thought the Yeti/Abominable Snowman were in the Himalayan Mountains, while Big Foot/Sasquatch was in the Canadian Rockies.
(Actually both are at the poker game in Loch Ness right now.)
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.