BP is not HUGELY high (what's the bottom figure?). I would start with sugar - cutting that will help with weight, which helps with everything, including BP. At the same time, it's very easy to cut salt (just don't add it when you are cooking; a couple of weeks and you won't be able to stand the stuff, I promise)and add in rather more exercise - just going for walks will help. If you already walk, walk a bit further.
OK so your cholesterol is very high. Mine was high. I have had a smoothie with avocado every morning for about a year and cholesterol has plummeted. Is this something you could try.
I can’t abide avocados- I usually have porridge with skimmed and approx 6 prunes (bone density) on Saturday I have two slices of fruit toast with benecol
Eggs don't burn fat. You need to grow muscle mass to burn fat and eggs might contribute to that being that they are a protein but so would other proteins. Carbs would also help grow muscle mass because they provide the fuel to the muscles so that they can exercise and thus grow and use more calories