I've got a big, compressor type, dehumidifier. I've also got electric heating.
The dehumidifier blows out warm exhaust air when it runs (if you leave the tube indoors, it dehumidifies, if you put the tube outside, it's air conditioning), and cold air out the front.
So, kill two birds with one stone, heat my flat and dehumidify it at the same time... only problem is, is that it's a bit noisy!