I assume you're referring to the Cinque Terre?
"Where to stay" is somewhat subjective, as most of us here have a favourite of the five towns. I much prefer Monterosso, which is the largest and therefore has the greatest number of hotels, restaurants and other amenities (as well as the best beaches). Monterosso consists of an "old town" and a "new town" so tends to absorb crowds better. Vernazza is also very popular with many here, and hopefully some of them will comment on this thread. Vernazza is smaller so doesn't handle the crowds as well and at times it can be very crowded.
Mid-September crowds will likely be high on days when cruise ships are in the area, but other than that the crowds should be moderate during the peak part of the day.
Which of the trails are you planning to hike? If that includes the popular Sentiero Azzurro trails, note that only two of the four segments are currently open (Park pass required to hike those).
At that time of year, I'd suggest getting lodgings booked soon. Once you've decided on which town you'd prefer to stay in, I'm sure the group here can provide some suggestions for hotels or other accommodations. If you'd prefer more of a "standard" hotel that provides breakfast and staff to help if you need anything, Monterosso is the best choice as many of the lodgings in the other towns are just private rooms so you wouldn't get breakfast.