John Gills Exposition of the Bible Commentary - Deuteronomy 12:13
Take heed to thyself, that thou offer not thy burnt offerings ,.... And so any other, this is put for all the rest: in every place that thou seest ; which might take with their fancy, seem pleasant, and so a proper and suitable place to sacrifice in, as on high places, and under green trees; but they were not to indulge their own fancies and imaginations, or follow the customs of others, but keep to the rules prescribed them by the Lord, and to the place fixed by him for his worship. read more
Matthew Henry's Complete Commentary - Deuteronomy 12:5-32
There is not any one particular precept (as I remember) in all the law of Moses so largely pressed and inculcated as this, by which they are all tied to bring their sacrifices to that one altar which was set up in the court of the tabernacle, and there to perform all the rituals of their religion; for, as to moral services, then, no doubt, as now, men might pray every where, as they did in their synagogues. The command to do this, and the prohibition of the contrary, are here repeated again... read more