You should teach your children why you believe what you believe and prefer what you prefer, but let them make their own decisions on their own beliefs and preferences.
My children would be taken to church with me as I would not want to arrange for alternate childcare during that time. I would make sure that they understand the message of Christianity better than their peers. I'll probably read from Proverbs at bed time when they are quite young, and make sure they are familiar with various patristic writings before high school. I'll do my best to make sure they understand the principle Christian Love, and don't simply follow rules out of fear of punishment. I of course will never resort to threats of Eternal Damnation, as I think Conditional Immortality is much better supported by scripture. I'll share my preference for literal translations over paraphrases that let the biases of translators creep into the word of God. I reject paedobaptism and the belief that there are any sacraments that have any value except as understood by their recipients, so I of course will not have them join any church without informed consent.
I don't really have ethic traditions. I will teach my children to embrace the good and reject the bad in all cultures.
I'll certainly make my libertarian leanings clear and will not be happy if a child of mine rebels by turning fascist, but it would be inconsistent to use force to convince a child to reject the use of force.
I'll sing and listen to some music around them and assume that they'll come to enjoy at least some of it. If they prefer some sort of cacophony I'd at least make them turn the volume down around me.
Loyalty to sports teams is extremely stupid. As Chomsky says, competitive sports are training in irrational jingoism. I would certainly try to convince my children to oppose all such blind loyalty and tribalism.