When you switch from alto to tenor sax, you are most definitely going to go through an adaption phase when it comes to sound production. The mouthpiece, reed and ligature are bigger that that of an alto and require the player to have a substantially different approach.
Improving Tone on Trombone - Will Kimball
Introduction to saxophone acoustics
Ibanez SR605E BKT Electric
Saxophones - Mini Review - Buffet 400 and 100 Altos side by side
Woodwind doubling and flute problems
Clarinet/saxophone doubling and loose and tight embouchures
Low Brass Resources The Reforming Trombonist
Pocket Saxophone Kit Mini Sax Portable Woodwind
Gold Plated Alto Saxophone Metal Mouthpiece, #6
Remle Alto Saxophone Mouthpiece (B817) : Everything Else