[I'm going to be honest with you right now, sometimes it's REALLY hard to avoid these ingredients (in my experience, anyways). Especially since things can be marked "Vegan", but it depends on what you consider Vegan. Some people think Beeswax and Honey are Vegan-Friendly, while others disagree. This also goes for Wool (since sheep are sheered whether used for wool or not, so their hair doesn't mat and cause health problems),
Sugar (since alot of sugar is refined with Bone Char), and some other products. But if you do your research and talk to the right people, eventually it'll get easier.
Beeswax and honey are not vegan. Vegan is much more than diet. Vegans are opposed to any exploitation of animals, and will not use any products that exploits them, as well as animal research, or use in entertainment.
Of course animal use is found in most things. Even the most diligent vegan often needs to make exceptions. They avoid animal products whenever possible, and practical
A good list of animal ingrediants can be found here:http://www.veganwolf.com/animal_ingredients.htm
It's only hard to be vegan because of the brainwashing and infiltration from the livestock and dairy industries. It's not coincidental that just when you find what should be purely free of something animal based, you find something from a rendering plant. It gets easier with strong convictions.
I'm assuming you've done research into the egg and dairy industry. If I seem harsh, it's just because Mercy for Animals videotaped abuse at an Ohio dairy farm. I continue to moniter them because that's how important it is to me to do my best, not only in what I buy, but in advocating for animal rights, and welfare.
It is hard in the first few months. It may be full of highs and lows, embracing it fully, then wondering if a little slip will hurt. Just remember why you don't use animals, and stay on the path.
It gets easier. I recall the rush I felt a few months after giving up dairy and egg products. I was getting stuff together for dinner and realized I no longer needed to think, or obsess over what to do, I was vegan. It has incredible since. I even find that it's become almost uncanny that I can pick up things that are vegan. Kind of like when you rescue animals, suddenly theyre all at your door.
Cheese is something I still "miss". I think of pizza and think, man, I loved cheese pizza. But that's all. It's no longer a craving, or drive, I just know I loved it, and let it go. I stayed away from subsitutes, because to me, if it's not what I want, it only drives me more towards it. After you find you miss it less, you could try Daiya. I don't think I would of liked it as much if I didn't clean my tastes of cheese first. I do love it, although I'd only get it on occasion.
Please give it your all! You will benefit immensly in health, attitude, energy and spirit.