We never wash our eggs and routinely leave them on the counter until they get at least 4-5 days old. (As long as you don't put them in the refrigerator there's no reason they *have* to be refrigerated - just make sure you float-test them first). If I had to bet money I would say it's one of two things either you really don't like true fresh eggs or it's something that's getting in the egg.
It is definitely a possibility you don't like fresh eggs! I know people who are so used to the taste of store-bought the fresh eggs are too strong for them. Remember these are just like the difference between store-bought and home-grown tomatoes.. the home-grown definitely have a stronger taste. My husband swore up and down he hated tomatoes until he had a fresh from our garden tomato - if it can change people's opinion to liking something there is no reason it can't do the opposite. I'll hope that's not the case since you have chickens already though.
If it's something in the egg perhaps its either the spinach or bleach?? Is the spinach particularly strong? Perhaps that or one of the other "extras" (sunflowers, etc) is what is boosting the taste. Also I would really be cautious with that bleach - you realize it's most likely getting in your egg right? The shells are extremely porous and anytime you wash them you risk eliminating the bloom and exposing them to bacteria and in your case bleach. I don't recall anyone else on here ever mentioning using the bleach and I would be very hesitant to try it. Note I do have FM so I don't use anything that's bleached (including flour) or preservatives etc to try and control that. Also the salmonella you're concerned about I definitely applaud you taking such fervent measures to protect you and you're family, however, the risk of contracting salmonella so long as you follow safe protocols are virtually nil. I would suspect you are already following most of these - from your earlier post I suspect you run a tight watch.
1) Gently - ever so gently rub dirty eggs under slightly warm water (cold water will get sucked right in along w/ the bacteria). I've also heard of some people using sandpaper, however, we only clean our dirty eggs so I can't attest to either method.
2) Immediately refrigerate any non-hatching eggs
3) Always always clean up any egg spills and wipe down counters to prevent any cross contamination
4) Float-test any eggs you are suspicious of, it will usually only take one rotten egg to get you doing this.
5) Thoroughly cook all eggs
Check out
this site - it has a bit more info and note they do mention bleaching on their site too.
Hope this helps and let us know what you find out!