It depends on your playstyle. Grenade focused builds, Tediore focused builds and turret focused builds are usually the most common. I’m a turret guy, so this is the one I use: http://bl2skills.com/commando.html#54055150015104014000005050055051. It’s a classic 26-15-26, one of the most popular specs for Axton, but there’s room for moving a few points around to fit personal preference. It performs really well for mobbing, it’s very well balanced in terms of both survival and damage output. Use it with a Legendary Soldier and you’ll be very comfortable with it. There’s no need to max out Ready when using a Leg. Soldier and Laser Sight kinda sucks. It will actually make your turret less effective, specially when you’re being swarmed by enemies.
Also, you might wanna check out some of the links in this thread: The Community Axton Guide - All you ever wanted to know. All you need to know is in there. I’m sure a few more experienced players could help you with alternate styles, tips and more in depth information.