All-mountain skis are built exactly for that kind of varied resort skiing. They're the most popular category because they handle groomed runs, moguls, light powder, and mixed terrain without being overly specialized. If you spend most of your time at the resort and like to dabble in different conditions, they're a great fit.
The trade-off is that all-mountain skis are jacks-of-all-trades—they won't carve as sharply as dedicated frontside skis or float as effortlessly in deep powder as freeride models. But for most skiers who don't chase one specific condition, that versatility is worth it.
A good rule of thumb: if 70% or more of your skiing is resort-based across varied terrain, go all-mountain. If you consistently seek out deep powder or spend all day in the terrain park, you'd be better served by a more specialized ski type.