I'll tell you a neat little trick I did with mine. We had the condensate pump in the basement of our last house, and the basement got really humid in the summer regardless of the A/C running. We used a stand alone dehumidifier to remove excess moisture, but emptying the tank became quite a pain after a while.
So I elevated the dehumidifier above the condensate pump, ran a dedicated line from the humidifier tank to the condensate pump and let it do it's thing. We had it installed like that for many years w/out problems.
The only thing is that you need to periodically check to make sure the condensate pump is working, otherwise you'll get a messy on the floor.
Since our basement was unfinished, I wasn't too concerned. If it was finished I would somehow wire the pump and dehumidifier together so that if the pump alarm goes off, or fails, the dehumidifier would stop working as well.