New to Towing what is safe to tow with 2012 Tahoe

I recently owned a 18, suburban with tow package and all etc.

Do you have the air ride leveling suspension?

But from what you posted, i would see 0 problem with your towing. A sway control hitch is always a plus to have, and i personally went for a shorter trailer in height(10ft 11in) over some of the taller ones that i seen such as 12 or 13 to have better control.