this issue should be resolved by placing the fields in question inside a sub-form. Subforms can either be Positioned (where the fields cannot grow) or Flowed (where the fields can grow).
To do this you can Ctrl+select all the fields in the hierarchy view and right-click --> Wrap in Subform.
This will alter the hierarchy structure; you will see the fields under your new subform.
Next, go to the Object's tab (once you have selected the subform) and change the property to 'Flowed' (the alternative is Positioned). Once you have changed it to Flowed, you have the option of flowing it either Top to bottom or Western Text (from left to right). This choice must be based on your requirement.
I won't lie - the Flowed/Positioned subform option can be tricky, the 'Margins'settings can mess with the rest of your layout. If this subform thing throws off your layout too much, you can also place Positioned subforms within it - just remember those subforms will not grow. Testing will reveal what suits you best.
It is very important to remember to tick 'Allow Page Breaks within Contents' - this allows the subform to flow over onto the next page if needed. Also, remember to look at your Field's properties (such as 'Allow Multiple Lines', etc).
I hope this has helped. Perhaps look for a tutorial on this matter on the Adobe site - you'll probably need a reference to look back on if you get stuck.