2 more techniques that help,in early days,I have a small lightweight cage , that sits near their big cage,so they are used to it.It 's used so that I can hold it up to a bird perching and tell them to "step on".A piece of that tempting millet on top of it can help.Then carry them back to their own base.(it's how I rounded up that travelling canary)
Have a section of the roof of their own cage covered with a towel so they have a nice safe covered corner where they know hawks or whatever predators they imagine can't get them! Seriously it makes them feel extra good about their home,and happy to return to it.
If you really struggle to get them down or have a bird you are trying to round up from danger and can't see how, have a large soft cloth,a pillow case will do,gently drop it over them and quietly pick them up keeping their wings to their sides and carry them home.Give them a treat when they get there.
My parrot escape happened when I was unaware that I had a bird on top of my towelled head after shampooing my hair, I went to the back door and off went a conure.The taxi stick was my saviour.I stood under the apple tree and said,"not funny,taxi!" With beating heart.Down she came. Conures are jesters,she had to sit and run her beak along a branch and do her conure chuckle first.Now I routinely check for passengers.