My son is on a similar diet, but he is also allergic to eggs. Some ideas:
Gluten Free Oatmeal
Rice
Rice porridge (or millet, corn, amaranth)- You can find many good recipes online
Eggs (no bacon or processed foods though)
Ground turkey seasoned with salt, sage, and ground ginger (to make sausage patties)
A veggie omelet
smoothies (is he counting natural sugar from fruits?)
Green smoothies (1 cucumber, handful of spinach, ice, water, stevia...I promise it is better than it sounds)
Potato, hashbrown...
For a sugar substitute- Stevia or Xylotol (Xylotol taste JUST like sugar...stevia tastes like artificial sweeteners without the health hazards)
I eat leftovers and soups for breakfast a lot. Sometimes you have to change your mindset on what can be included as a breakfast food.
Garden of life superseed powder (has tons of protein and fiber...great to add to smoothies)
Hope this helps!

I would be careful about the eggs. That is my son's biggest asthma trigger!

Breakfast Burrito or pizza with food for life brown rice tortillas and daiya cheese (daiya is the best I have found, I am sure most health food stores carry it).
Also you can just go to Whole Foods (if there is one near by and look around. They have tons of stuff.
And Udi's GF bread is AWESOME!

I've been reading up on supplements and discovered that MSM Sulfur is supposed to be really good for people with allergies as it reduces them (and the inflammation). It creates Glutathione within the body which I'd read some people who get sick are found to have low levels of it. I guess it's one of those supplements that people nowadays are deficient in it.

I also take Magnesium, B12, D3, Calcium, and Zinc with Vitamin C. The Magnesium is really important as it's reduced my incidences of migraines. It's one of the ones I discovered gets stripped from water sources if you have a water softener system. Ironically, I have to add Magnesium and Calcium to my aquariums because the fish need it and my water source is too low in Calcium and Magnesium. I'm not sure about whether these help with inflammation but I've noticed I feel better now that I'm taking them. I buy the MSM in powder and make my own gel capsules.

I've started to research supplements only because gluten free diets (I'm wheat free due to allergies) tend to not have everything you need in them usually. It's tough to get it all. The water systems tend to remove some of the minerals too. I actually found a good supplement for my nephew whose seven which he seems to like called Kids Multi Calm. It's not cheap but it seems to help him focus and puts the Magnesium into his diet. I sometimes wonder if the inflammation I experience to some degree could be controlled through both foods and supplements which is why I'm now doing this.

Anyway, these are just a few of my ideas.

You can do it, I know it sounds overwhelming to start with. I am free of gluten, dairy, soy, coconut, and a few other grains. This is due to allergies and intolerences.

Eggs are good for breakfast, I like rice too. Cream of rice is quick and easy and sometimes I add a poached egg or nuts and brown sugar. Depending on my mood.

I use almond milk, but be careful there are some products that claim to be free of things and are not. I use foodfacts.com to check the products I am using.