What I would do.
1) ID and address any easy to correct sources of moisture first. Things like leaks, gutter, drainage, water entering the foundation, or poor grading.
2) Control humidity mechanically with your choice of system, central A/C, mini-split A/C, mini-split style dehumidifier, central dehumidifier, or other.
I live in an area of the country where people are adding climate control as the outside climate seemingly becomes more humid, stays warm for a longer period of time, and doesn't cool as much overnight; the housing stock here has many houses that are 100+ years and even 200+.
We added central dehumidification last year. We tried to address moisture first, but for us the majority of it is the humid of the outside air. We have done air sealing and weather stripping upgrades. But, to really address it we would have to replace the siding on the house and address the envelope itself. The cost of that makes it a non-starter at this point.