Locker or limited slip diff

I have a 06 Silverado regular cab with 37 inch tires and 4:56 gears. It's my daily driver but I'm of road quite a bit. I was wondering if I should go with a Detroit locker or a limited slip diff. How hard on axels would a locker be on the truck around the city? Would I be breaking axels a lot?  

I had a 97' Jeep Wrangler that I had what they call "lunchbox lockers" installed and if you didn't mind the clicking they made going around corners they were great. Now I only had slightly larger than stock tires, not 37's like your truck, but I never broke anything. What you need to think about is how you use it, if you are going on logging trails than LSD's will be fine. it's only when you encounter mud or rocks or snow(snow is questionable) that lockers are essential. But regardless I think if you are easy with the gas pedal the most wear will be to tires and ujoints.  

The majority of my off roading is in the mud so I know lockers are preferred. It's particularly the Detroit lockers I'm interested in mainly because they seam to be the only ones I can find to fit my truck.  

I run a detroit locker in my front end of a 1980 K20. GM 10 bolt,456 with 38.5 boggers. The locker does exactly what it is supposed to. It leaves the front end free to turn when I need it to and locks up when I need it to. You won't break axles because of the locker. The locker just won't be your weak link. I have no mercy on mine. I do break axles, but I would rather break them than my locker or hubs. I keep plenty axles built up. I put down a little under 500 hp and race it in pits.  

Thanks for the help, I have full confidence in it off road and I am prepared to break things . My concern is on the street, it is my daily driver and don't want to be putting unnecessary strain on things because of city driving. I realize I should have a separate vehicle.  

I would go with an air or electronic locker than in your application. You can lock the axles up when off-road front or rear (would put two lockers in) and on the street you can just turn them off and return to normal driving. Otherwise you'll have to pick a Detroit Locker that is some compromise between street driving and off-roading-it might let you down off road because it is designed more for street driving.  On the other hand a locker designed for mostly off-road work will put a lot of stress on the drive train and it will also cut down on street performance. In short the best solution is the on-demand system where the driver puts it on depending on road conditions.  

Thanks for the help, I never thought of a selectable locker so I was reading up on the Eaton elocker and from what I gather it would be a great solution to my problem. Does anyone have any experience with the elocker?