I wouldn't bother with carrots.
I'd start with some real Vitamin A. I found the gels did not work for me, probably from heat treatment, but a stick of KerryGold butter a day would likely give a profound difference within a week. If that does not fit into the diet, you could try Garden of Life Cod Liver Oil. It has has rosemary etc. and it does not taste like fish at all, you can even use it on salads. The trick is to find the amount that works but that is up to you.
Next, I'd strongly suggest Astaxanthin at a hefty dose. I take a 12mg gel a day, Nutrex Hawaii brand, but any BioAstin product would do. After about 3 weeks of doing that I noticed that I can check out women more than 8 feet away because I can actually focus at that distance after staring at a screen from 2ft all day. Also, while driving I notice a lot more detail in the surroundings, the edges of buildings look sharper, colors look more saturated etc.
Good luck