Jamieson, Fausset and Brown on Deuteronomy 12:5

5. unto the place which the Lord your God shall choose ... to put his name there ... thou shalt come--They were forbidden to worship either in the impure superstitious manner of the heathen, or in any of the places frequented by them. A particular place for the general rendezvous of all the tribes would be chosen by God Himself; and the choice of one common place for the solemn rites of religion was an act of divine wisdom, for the security of the true religion. It was admirably calculated to prevent the corruption which would otherwise have crept in from their frequenting groves and high hills--to preserve uniformity of worship and keep alive their faith in Him to whom all their sacrifices pointed. The place was successively Mizpeh, Shiloh, and especially Jerusalem. But in all the references made to it by Moses, the name is never mentioned. This studied silence was maintained partly lest the Canaanites within whose territories it lay might have concentrated their forces to frustrate all hopes of obtaining it; partly lest the desire of possessing a place of such importance might have become a cause of strife or rivalry amongst the Hebrew tribes, as about the appointment to the priesthood (Nu 16:1-30).