I want to make an appointment.

The process to transfer data from old to new iPad is straightforward. While Apple's technicians will be happy to help should the need arise, you should not have any difficulty in performing the simple process yourself...

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

Apps 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.

If you do need assistance, you can make an appointment for the Genius Bar of your local Apple Store or Apple Authorised Service Provider (AASP) here:

Genius Bar Reservation and Apple Support Options - Apple

I want to come into Birmingham into the Apple store to speak to someone

Try reading/following the final paragraph of the reply preceding yours...