We only use cruelty free products. Usually only the products with the “Leaping Bunny” logo (<- Link)
The logo used to be for BUAV, The British Union Against Vivisection, but recently, has become a world wide brand known as Cruelty Free International.
There are a number of cruelty free brands that aren’t yet endorsed by Cruelty Free International, so, any site like choosecrueltyfree is a big plus!
Also, regarding foodstuffs, we avoid anything with Palm Oil and similarly sourced products unless research shows that they’re using a responsibly sourced, renewable palm oil.
It’s almost impossible to live entirely cruelty free today, though.
As a small example, general inoculations, a lot of them are proteins that are grown on fertilised hens embryos, and if you think hens within the food industry are treated bad, that doesn’t compare to pharmacology… 
I, personally, don’t consider eggs to even be vegetarian. Yes, I know they’re not fertilised, but the bi-product of egg production are thousands of “useless” male chicks… Can’t be used for laying and they don’t want their eggs fertilised, so, they’re disposed of…
So, possibly a worth while point to make for your assignment could be the way these chicks are treated…
I’m not going to go into too much detail, but they use a machine called a “Chick Macerator”… But, I warn you… It’s probably some of the most distressing maltreatment of animals I’ve witnessed…
We’re (me and my wife) are not quite vegan, but pretty close to it.
There are virtually no animal products, food or otherwise in our house accept those used to feed are carnivorous house guests, (Cats and Ferrets) 
Gah, anyway… I’ve done the preachy animal rights things enough… Apologies for waffling…