"My way" I read 30 years ago from an English beekeeping book.
To keep old queen in the old hive is that you need not to find it. That was a clarification when our main beekeeing teacher recommended new hive+queen cells.
Of course, when you have a clipped queen and it is gone, you have only choice a queen cell.
I have done for tens of years
*********************
If you look MAAREC advices, there is a main system that brood and the queen are separated:• Separation of Queen from the Brood - Separation of
queen from brood, or Demareeing, is probably the most
widely used swarm control practice and is the easiest
and most successful method in use today to control
swarming. A large number of variations exist and
almost all recent articles in the literature on swarming
utilize the same basic principle of queen and brood
separation.
The basic technique involves rearranging of the colony.
The queen is placed with 1 or 2 frames of sealed brood
in a hive body of otherwise empty comb (or foundation)
on the bottom board and then a queen excluder placed
over the single hive body. One or two supers are added....
http://maarec.psu.edu/pdfs/Swarm_Prev_Control_PM.pdf