First thing TB needs to really work on - and I'm sure it's a big point of emphasis in practice - is to keep his eyes on the ball until he has it secured. If the eyes divert even for a split second, it can lead to a bobble or drop. Same as receiver in FB. Or a 2nd baseman turning a DP. Watch the ball all the way in.
Also, most (all?) tall guys have trouble handling passes below the waist. Some (but of course not all) of Terrel's bobbles have been at least partially due to such passes. Guards need to recognize that tendency and pass (or not pass) accordingly.