John Wesley on Deuteronomy 12:5

To put his name there - That is, to set up his worship there, and which he shall call by his name, as his house, or his dwelling - place; namely, where the ark should be, the tabernacle, or temple: which was first Shiloh, and then Jerusalem. There is not one precept in all the law of Moses, so largely inculcated as this, to bring all their sacrifices to that one altar. And how significant is, that appointment? They must keep to one place, in token of their belief. That there is one God, and one Mediator between God and man. It not only served to keep up the notion of the unity of the godhead, but the one only way of approach to God and communion with him in and by his son.