The disarmament process would begin after the initial three-month amnesty. Special squads of police would be formed and trained to carry out the work. Then, on a random basis to permit no advance warning, city blocks and stretches of suburban and rural areas would be cordoned off and searches carried out in every business, dwelling, and empty building. All firearms would be seized. The owners of weapons found in the searches would be prosecuted: $1,000 and one year in prison for each firearm.
Clearly, since such sweeps could not take place all across the country at the same time. But fairly quickly there would begin to be gun-swept, gun-free areas where there should be no firearms. If there were, those carrying them would be subject to quick confiscation and prosecution. On the streets it would be a question of stop-and-search of anyone, even grandma with her walker, with the same penalties for "carrying."
That Constitution-thingy that guarantees we are free from searches and seizures on less than probable cause? Pish posh -- these are guns were talking about! That pesky 2nd amendment? Screw that -- it doesn't really mean what it says anyway. Due process? No worries -- we're taking your guns FOR THE CHILDREN!!!! THE CHILDREN!!!
UPDATE: The protein wisdom take on this.