The supported transfer methods presume that both the existing and new iPads will use the same AppleID. Purchased Apps are forever tied to the AppleID from which they are purchased - and are not transferrable between AppleID accounts. If you use a different AppleID, you’ll not be able to use the settings/data transfer - and will have to manually move data between devices; Apps will have to be re-purchased, or shared via Family Sharing.
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
If the donor iPad, from which you are transferring your data precedes iOS12.4, QuickStart will not be available.
“Transfer” is rather a misnomer. In reality, your data and setup is merely cloned to the new device. Nothing is moved or removed from the original device.
An alternative is to restore either an iCloud or iTunes backup to the new device:
How to back up your iPhone, iPad and iPod touch – Apple Support
Restore your iPhone, iPad, or iPod touch from a backup - Apple Support