First, put your caged queen and at least 5 frames packed with bees into a hive body or nuc box, and take it miles away. This will make the hive think it has swarmed.
Your queen is caged for a couple of days so she doesn't fly away. Use a "swarm guard" to keep the queen in the new box, or an excluder below the bottom box, for about 20 days until all the foragers know it as their only home.
What happens with the swarm cells depends on whether you want to make splits (move each frame with cells to new nuc box with stores & bees) or just let one queen prevail. (leave it as-is)