If you have a bread machine you’ve struck gold. I simply put all above ingredients into my bread maker (liquids first, then dry ingredients), and put it on the dough/pasta setting. The bread machine does all of the hard work for me.
You can store fresh pasta in the fridge for a day or so. Or freeze it by tossing it in plenty of flour and par-freezing it in single layer on baking sheets for about 1 hour. Once frozen, transfer to freezer bags and return to freezer.