One thing it depends on is how much flexibility you want. Last year, we did the non-park hopper tickets. We did 5 days--4 at each park and then on the last day, we had to choose our favorite park and everyone had to be in agreement. Something that was very frustrating--it rained on our DHS day, so Fantasmic was cancelled. Because that wasn't our favorite park, we never made it back to see that show which is my favorite show!
If we had had the park hoppers, we could have hopped over there another night when it wasn't raining to see it.
Next time, we are getting the park-hoppers, actually the 10-day no expire ones. I will be using these tickets for 3 trips. Next year's trip, we will be using 4 of the days. I would hate to have to go to only one park for each of those 4 days. So with the park hopper, I can do the Sunrise Safari (I'm a DVC member) at AK on Sunday morning (one of the only days it's offered) and then also do PM EMH at AK on Wednesday evening. More flexibility!!!
As far as money, I don't feel like I'm spending $200 extra for 1 trip; I'm dividing it out over 3 trips, so I don't feel as bad forking out the extra. So if you are planning on going again, this might be an option.
Another thing it depends on is how many times you have gone in the past. If you have never been, don't get the park hoppers. There will be plenty to do at each park for you to stay in one park all day. If you have been several times and know what attractions and shows your family likes, then get the park hoppers. This way you can do the things you like, go back to the resort for some relaxation time, maybe go to Epcot for a great dinner, then go to a completely different park in the evening.
Good luck deciding!