i thought fast food nation was better researched and far more entertaining to read than DfaNA. anyway. . .
you may start by finding alternative eggs (ie, biodynamic, organic, free range, or if possible, have a few pet chickens where you can control their conditions yourself). this may be a good compromise for your parents until you're 18 or so and you can move on--assuming they don't budge with any of the other information.
Also, remember that you're still growing, so your diet is going to be different than an adult vegan diet. I think PCRM has some information on it (though they're a bit of a sketchy org). anyway, good luck.