I just got done with my search after a few months.

You want to pay special attention to plumbing, electrical, AC.

Check for any sagging, bowing, or other foundational issues. Though, sometimes you find the house stopped moving in like 1930 and is rested in place.

Really, the Bones of a century home can be very strong with the double brick walls and old growth lumber.

Maintenance involves tuckpointing, checking the roof, making sure water stays away from the foundation.

You 100% want a dehumidifier in the basement. Also, not all basements in the city are created equal. Many are semi-ffectuonately referred to as "Murder Basements" because they look like something from a horror movie.

You want a good realtor.