I'm not normally one to advocate the subject much but according to recent studies and trends one might consider that neither are "good" for you. Here's just one article about the health studies between plant based and carnivorous diets.
I'm trying to find the conference I recently watchedThis is an interesting conference where a nutritionist explained the latest discoveries in meat composition that was connected to rigor mortis and the human body's inability to process a certain property, which was linked to heart disease, diabetes, and other common health ailments afflicting the majority of the US.
However, from a parental perspective, my kids are pretty picky. We try to raise them on all organic, home prepared foods, but obviously that can be impossible unless you pretty much live in a cave. Through any number of influences our kids end up wanting certain foods, candies, treats, etc and they're kids so they should have a good time and if they later choose to go all organic and vegan then good for them. If not, it's their lives so they can choose that too.
They have nitrate free turkey bacon. Tastes pretty good. You can get it at any Super Target. Some will argue the nitrates in celery juice are basically the same thing as added nitrates. Not sure but from a general health standpoint the consensus is still that turkey bacon is less harmful than pork or beef.
Organic cage free eggs are available, and if you're a member of Costco they're pretty much no more expensive than normal eggs.
From a health and protein intake perspective you are probably doing well to feed your kids an egg and some bacon several times a week to facilitate the proteins and fats they may otherwise not be getting. Argumentatively you can also achieve the same levels from a hand full of nuts and some easily kid prepared beans and rice based burritos. But I know that can be a challenge.
Something you may think about - It's a personal challenge for any parent to overcome the wiles of child food related insanity. Should you manage to interest them in omelettes, burritos, smoothies, etc. Consider that a huge amount of the daily nutrient profile can be achieved with a very small amount of vegetable super foods, like broccoli, kale, nuts, etc. I mean indistinguishable levels. You can puree kale and broccoli down to micro bits and mix them into an omelette. By that point you could probably give them a cup of kool aid and doritos and they would still have absorbed more vitamins than most kids get in a whole day. (not advising to do that, but just saying...)
We've been working hard to overcome our kid's food related chaos. We achieve a high nutrition intake from clever use of common foods, and occasionally battle their cuteness winning us over and getting them a mcdonald's cheeseburger, which probably undoes most of our hard work. But it keeps them sane, and they largely welcome our ventures into super foods disguised as tasty kid foods.
To summarize though - residing back to your question - yeah, there are serious health implications coupling the decision to eat bacon and eggs daily. Highly provable medical concerns even, but they revolve around the entire agricultural industry and not specifically meat or animal products. The optimal decision would be as close to plant based as possible.
I would cite more links, but any google search on vegan diets will give you the information to support this. The lecture I will look for that speech though. Itreferred to had some disheartening information (especially since I love me some chicken, which they identify as WORSE for you than beef!) but it is a pretty interesting video and it's changing how I feel I will plan meals for my kids.