Gas heat probably should be tuned up for clean burning every year or two. A heat pump is generally good for years until something breaks. Both systems need filter changes and coil cleaning, which most homeowners can do themselves.
Couple "fun" things about a heat pump; You will smell burning the first time the electric strips are used every year moving into the heating season, it's just dust burning off. Once you start moving into colder weather you might notice the system changing into defrost mode so it can melt ice off of the outside coils. There's a variety of sounds that accompany this and you might even see a bunch of steam coming off of the outside unit. It isn't smoke and it's normal. Every year there's a flood of 911 calls about this.