If you log in on a different phone with your account, you will be able to see and use Kyte normally.
You may want to create a specific user for every device, or just use the same one on several phones.
If you create a new user for the new device, make sure you give this user permission to access Kyte from other phones.
Kyte will ask you for confirmation
The user will receive his or her credentials to access Kyte.
You will be able to see all transactions
You will be able to see all transactions and the User who post them.