When I learned how to make fresh pasta (thanks to my Italian mother-in-law) it was so easy that I was definitely encouraged to try it again soon! But we did run into one little snag near the end: my mother-in-law asked if we had a drying rack. Well, no.
Pasta has to be quickly laid out or hung to dry as soon as it comes through the machine or as it's rolled and cut. The thin noodles will dry quickly so you want them in the right shape for that. Many people who make pasta regularly use a pasta rack with many wood dowels to drape the pasta over to dry. Others use laundry racks.
We didn't have either, so we improvised! This solution was actually quite easy in our little kitchen; we just used hangers and draped the pasta over, then hung them from doorknobs and chairbacks.
You can also lay pasta flat on a lightly-floured towel to dry, but it's best to hang it on a rack or hanger to let the air flow freely all around it.