Selecting the right stroller for a Disney trip can often be one of the biggest decisions to make! Let me try to help by point out a few of the pros and cons of bring a double jogging stroller.
By bringing your own stroller, you know the ins and outs of it and your children are use to it. Disney rents wide double strollers, so they are all over the parks. When you leave an attraction, you will only have to find one, and you have a "home base" to keep your "stuff."
A downside to the double stroller, even with as many as you will see, they are tough to navigate through stores and crowds. Disney transportation can be incredibly tricky with them as well because they
must be folded up on the buses and some of the water taxis. This leaves one parent holding the stroller and the other parent managing 3 children.
Renting strollers at the parks can keep you avoiding this situation, but I have to admit it is nice your own to get around the resorts with and even getting from Disney transportation to the entrance of the parks. It is also costly to rent.
Would you consider bringing 2 single strollers? My thoughts are that it might make napping more easy if they recline, helps with avoiding fighting (if that happens), and allows you to split up your party.
I hope this helps with your decision-making. Have a magical trip!