What is the process to catch stray cats

I think animal control has cages you can borrow and then you call them when you catch the stay.

If you have stray cats, you can get them fixed at very low cost at clinics like Spay Spa. This is TNR. it is the humane solution to outdoor cat overpopulation. You can learn more at Alley Cat Allies.

I believe they have cages and once u catch the cat u drop it off to them

Yes that is how it is done