Approximately two years ago, my sister and I attempted to make Mario Batali's basic pasta dough from his cookbook Molto Italiano. It was an egg-based dough, and it unfortunately didn't work out for us. We had a hard time rolling the dough out, and it dried out on us so that we really had to cook it a lot longer than we did in reality. We didn't realize this, though, and it ended up being chewy, unpleasant, and undercooked.
Luckily for us, we've learned a lot more about cooking since then, and I had the confidence to tackle making pasta dough again today, this time somewhat successfully (with a few tiny, but not disastrous, flaws). This time I chose to make a eggless pasta dough from the Italian Food Forever website, mostly because it gives instructions for rolling the dough out by hand rather than with a pasta machine (which I don't have), but also because the ingredient list is so basic with just flour, salt, and water, and no eggs.
I began this dough by mixing the flour, salt, and water on the counter top until it could form a ball. The recipe itself doesn't give exact amounts, but I ended up using two cups of flour per batch (I made three batches), a pinch of salt, and for the water, I just gradually added it to the flour until it could form a ball.
Once the balls of dough were formed, I wrapped them in plastic wrap and let them rest for a few hours. This way they didn't dry out during the resting time, but the gluten relaxed enough that it was easy to roll the dough out when the time came. The recipe specifies you only need to let the dough rest for 20 minutes, but I wanted to make the dough ahead of time so that I wouldn't have so much to do around dinner time. It really didn't hurt the dough to let it sit longer.
Probably the biggest challenge, and one that wasn't easy for me to recognize until the pasta was cooked, was just how difficult it's to roll the dough out to a desirable thinness. Having not kept in mind that pasta expands when it's boiled, I didn't roll the noodles out thin enough, so I found my noodles were a bit thick once they were cooked. Next time I need to roll the dough out more thinly.