Check your glove box for your gear ratio code.
Later GMT800 2WD were typically 3.42, but sometimes 3.23 and sometimes 3.73
Later GMT800 4WD were typically 3.73, but sometimes 3.42 and sometimes 4.10
As far as torque converters, absolutely do it for a noticeable difference in performance (even untuned), but note that TCI is no longer a reliable brand for torque converters. The Big 3 brands right now are Circle D, Precision Industries (Vigilante), and Yank, but a quick look around PerformanceTrucks.net will steer you toward Circle D.
I'm running
Circle D's upgraded 278mm (11") I6 Trailblazer converter with a 3K-3.2K stall and love how much more passing power I have, but I got a larger one because the cam I am going to install shifts the power band up higher than the stock cam. If you want to tow frequently and keep your stock cam, they make a modified I6 Trailblazer converter that has a 2.6K-2.8K stall. Either one of these is $375 shipped for members of the PerformanceTrucks.net forum.
If you want something even milder, but still better than stock (i.e., in between the Trailblazer stall and the stock stall),
Circle D also sells an upgraded 300mm (12") 4.8L converter (which has a higher stall than the stock 5.3L converter), with available two different stall ranges of 2.2K-2.4K and 2.4K-2.6K.