You can clear 37s with some fender trimming.
With no lift on the truck and knowing you would like 37s I would suggest a 6" lift.
Get the toughcountry springs in front and do the 4" shackle flip in the rear with a 2.5 inch lift spring.
Other items you will need are.
Shocks, brakelines, steering correction (either raised block or crossover) might need new driveshafts. These items are must haves
Nice to have would be
Front upper shackle hanger, full greasable bolt and bushing kit, upgraded shocks, and a traction bar
The list goes on and on but you get the point.
Give a call and talk with Stephen and you will get the pros and cons of each of the options.