These support pages should get you started with setup of your new iPad - and the methods of transferring your data from old to new iPad:
Set up your iPhone, iPad or iPod touch – Apple Support
Transfer data from your previous iOS device to your new iPhone, iPad, or iPod touch - Apple Support
Use Quick Start to transfer data to a new iPhone, iPad or iPod touch – Apple Support
Both QuickStart transfer, or restoring from an iCloud/iTunes backup, is all or nothing; neither of these processes are selective in the elements that you wish to transfer. This limitation might not be a significant issue - as you can simply delete any Apps, data or documents from the target device when the transfer/restore has been completed. Deleting an App will also delete any data associated with the App being deleted.
Apps themselves are not directly transferred between devices. For Apps, the transfer process creates a record of the Apps that are installed on the donor iPad - and it is this record of installed Apps that is transferred to the target (new) device. For Apps that are still available for download from the App Store, the corresponding Apps are automatically downloaded and installed from the App Store. The Apps will be associated with the corresponding App data included within the backup.