I'm going to have radiant floor heat installed in my house (yay! warm feet). From what I understand, radiant floor heating reacts "slowly" due the amount of energy required to heat the thermal mass of the floor, etc. Which leads me to my question.

Should I have an heat pump installed instead of a cooling-only air conditioner for days when "quick heat" is needed? I live in Michigan.

You'll have to pardon me if my question seems "off", I've only got experience with living in a home with forced heat.