Don't know how previous poster believes both are the same.
Where is the beach in Port Orange city limit?
Port Orange is a solid middle class community with excellent opportunities for youth sports. Hence, PO has the only SuperTarget and Kohl's in the area. Ormond is more upper middle class and more worldly, cultured interests and generally has more cache as an address (depending on where in the city you live). Ormond has the Trails shopping center that has upscale stores. The main shopping mall and national chains are clustered on International Speedway Blvd in Daytona Beach, which is the halfway point between these 2 towns.
Both have good schools, but focus is different depending on your childrens interests (as mentioned). Spruce Creek High in PO is nationally recognized, but also very overcrowded.
The beach area for Port Orange is Daytona Beach Shores or Ponce Inlet areas, which are strong retirement areas (who don't mind kids for 5 minutes, but not hanging out regularly).
The beach area for Ormond is their
own and plenty of outlets for them to discover there.
It's all going to boil down to what's more important to your family regarding status vs middle class options.
New Smyrna Beach (beachside) is also an excellent area to raise kids.
Best advice is to have a solid "plan" for your kids to follow as the area offers many distractions, both positive and negative. This should include socializing, fitness and college choice based on interests/capabilities. You also should plan for additional options such as tutoring, special camps, etc. to expose them to the "larger world" than what is typically available here.