I have a 98 K1500 5.7L with 4L60e trans.
What are all things I would need to take into account, to increase the tow capacity I would like it to be at least 10-15,000lbs.
Simplest is to get a bigger truck, 2500 8 lug or 3500. You get the higher capacity, plus all sorts of other goodies (necessary for towing bigger loads) like a stouter frame, heavier duty brakes, better suspension with more leaves in the rear, and most importantly (LoL) a real truck transmission (4L80E). I can haul some big loads with my C1500 Burb... BUT I know how to load trailer and Burb, and on anything other than flat ground I tow in D instead of OD. Plus Burb and big truck both have factory option towing package which includes the big hitch, and oil and transmission coolers. Some of these things are available for a half ton, but another thing to consider is, if you're hauling or towing beyond the truck's rated weight capacity/capability, and something goes sideways, if anyone gets hurt or someone else's property is damaged.... you're gonna be on the hook and in danger of a big lawsuit.