A FF (Full Floating) 14 bolt is a rear differential commonly found in 3/4 and 1 ton Chevy trucks.
As for what they look like, try searching google images but there are two REALLY easy ways to spot a FF 14 bolt: the first is the hub extending through the center of the wheel with 8 bolts holding on the axle shaft and the second is the removable pinion support (i.e. the pinion piece of the axle can be unbolted and removed).
A Dana 44 is nearly identical to the 10 bolts that are under your truck from the factory, you're not going to be upgrading by going to a Dana 44.
As for "Dana 60's" being good diffs, that's not inherently true. The ONLY thing that the term Dana 60 refers to is the center section (i.e. ring/pinion and carrier size).
There are tons of "undesirable" Dana 60 (front and rear) diffs with 19, 30 and 32 spline shafts that aren't really very strong.
But as mentioned, tire size and use will really determine how much axle strength you'll need.