4x4 sloppy steering questions

[99-LS1-SS]

What is the most logical place to start to address the steering play? I have an '85 K10 and I have to chase the steering a little more than I want to. I just got this truck earlier this week and I want to make sure it is safe and reliable.

Are the various ball joints the main contributor or is it more likely the steering box or a combination of them all? Logic tells me it's all of them but I don't have a lot of experience with this model in a 4x4. I can change the most of what could be wrong but I don't want to change things that don't need it. My whole purpose for buying this truck was to have something that is functional, reliable and that I didn't have to sink a lot of money into. Obviously if it is a matter of safety then I will do what I need to do.

I guess is there some checklist or order that I need to fix stuff or rule it out on the front end of these trucks?