Based on your pictures, you don't have enough fall, at least in what is shown, to get a walkout basement. I would say that from what I can see, you have 5' at best, which puts you ~2-3 ' shy of getting down level to your basement floor. Maybe you can go out further than what is shown to get lower, but then you are talking very long retaining walls.
In addition, I think your walls are standard 8" walls, at least that is what they appear to be based on what I can see at the edges of the window.
Unless money isn't an issue, I would suggest putting in about 2 or 3 egress windows with long window wells. This will let in a lot of light as well as potential ventilation and possible future bedrooms. Plus it will be a TON cheaper than building long retaining walls and you won't have to worry about footers because they will still be covered with ~2-3 feet of dirt.
Also, you don't need to worry about lintels,etc, unless you were planning to remove the entire wall. The only support on this wall is at the center where the steel I-beam rests. The rest of the wall is primarily to hold back the dirt.
The main thing with egress windows is to make sure you have drainage so that they don't fill up and flood water into the basement. But that is easily taken care of with stone and drain tiles at the bottom to either the footer drain or a drain down over the hill to a point that is lower.
IMO, building a walkout here is not a DIY job, unless you are very, very accomplished and have a LOT of time. Adding egress windows, on the other hand, is relatively simple with the hardest part being to cut the wall. The best way to do this remove the dirt first, then cut the wall and drop it outwards so that you can drag the big piece away. Or maybe leave it at the bottom of your window well as a floor. It's a thought, though I've never seen anyone do that.
You can hire someone to cut this, or with an 8" wall, rent a rotary diamand saw and cut through from both directions. Just measure well, and it will work out if you can cut straight. I even have a 14" Partner wet/dry diamond saw I will sell you! Definitely use wet cut inside, otherwise you will get concrete dust everywhere in the basement!