Basement dehumidifier, heat, etc

I have never heard of a unit that does all those things.

== Danby makes some multi-use units. I know they have an AC/dehumidifier/air cleaner unit.

If you want to dehumidify a basement, make sure that it will work in a basement's lower temperatures. Standard dehumidifiers won't work much in a basement. I think Llo Temp" or "basement" dehumidifier might be the right terms to search for.

Maybe.

Sounds like you have air leaks or a slab with no vapor barrier. You might run an $80 window AC when the indoor RH rises to 60%, using Honeywell's H46C1166 humidistat, $60 as Grainger's stock no. 2E574.

Most houses naturally leak ten times more fresh air than required, making air-air heat exchangers expensive and useless. In mild weather, you might run an exhaust fan if the indoor RH rises to 60%.

For heat, you might run a window AC inside the basement in wintertime, with a solenoid valve and a soaker hose that dampens the slab if the basement RH drops to 50%, using an Autoflo 052000 humidistat, $31 as Grainger's stock no. 2E453.

Nick