I don’t want to share my Apple ID with my new ipad

You can. If you create/use a new Apple ID, you will lose access to some of your data and the purchases made with your existing Apple ID.

Apple ID - create a new.      

Apple ID – Create        

You can try setting up Family Sharing between the IDs if you want to be able to share purchases made with the IDs.

Family Sharing.         

Family Sharing - Set up.