BTW while "taken from their families" is correct, many kept ties with the families. The Sokollu dynasty of grand viziers who practically ruled the empire for decades were taken the same way, but the first of Sokollus, Mehmen Sokollu, was not only able to pass on his position to his relatives, he re-established the Serbian Orthodox Church and got his brother to become its patriarch. We can discuss the humanitarian aspects of this, but practically, these people are not slaves at all; in fact, thinking that these people were slaves is downplaying what a disaster actual slavery is.
PS. There is a book by the Nobel laureate Ivo Andric about exactly the times of Sokollu, that HN readers might find interesting: https://en.wikipedia.org/wiki/The_Bridge_on_the_Drina
My comment was mentioned to highlight that in many practical ways, the Christian population was practically enslaved to the Muslim overlords (regardless whether them being "real" Turks, or, more commonly, local converts, or even Janissaries). Much more than a Christian serfdom was a lightweight variation on slavery.
Christian population as a whole had very little to choose whether their children will be taken away and become Janssaries, at least until late times, and once taken away, those people had very little influence about their career choices. They were slaves in all practical ways the slavery means. For some exceptions, that slavery turned out to lead to high positions (like Sokollu) but, on the other hand, if the subject population retained their independence, talented people like Sokollu might have had opportunity to build up their local communities/states, instead of conquering the world for Ottoman sultans? :)
PS. I am personally an atheist, so I do not tend to look at the things here from the Christianity: right; Islam: wrong perspective.
I mean, finding cases of African American slaves that lived and worked as cooks or home attendants, or nannies, or whatever easier jobs were available in the South, in addition to much harder cotton picking would not be an argument that those people were not enslaved. The fact that one does not literally carry chains the whole day does not mean that he is not a slave, if the owner can literally decide on the life and death, without much consequence.
If we talk about imperial dominance in Ottoman Balkans, I would accept that local Muslim population (largely converts) lived under imperial dominance. Christian peasants - much, much heavier.