Livecycle is definitely more versatile for creating an advanced pdf form.
Static forms are limited in the coding that can be done, but offer better viewing compatibility. Eg. Static forms can be filled in using Chrome for WIndows, but a Dynamic form wont show.
Dynamic forms will allow you to use more advanced functions and javascript, but it is less likely to be able to be used. Before going to far into your form creating, i would suggest making a basic form and see which works using the iPad.