Lanthum Chloride is a liquid product that immediately binds to the P in your water column. This bind is called flocculant. Most people like to dose it into a overflow and let it go into a correct-sized filter sock... or into a sump for it to get skimmed out. Some people just add it directly to the tank and let the flocculant just make it way into the sump and skimmer in it's own time. Both seem to work.
I started a new tank recently with some old live rock and it has some bound phosphate. That live rock also had some softies and some SPS on it. I did not care if they lived or not since they were going to get removed and given away to the locals. I just dosed LC to the tank directly. The first dose took me from like .6 to .25. The second down to about .10. The third down to about .05. From there, I went really slow. Nothing, and I mean nothing, cared at all that I just dosed the tank. The skimmers (I use two) pulled out more and it had a different smell during the treatments. In retrospect, if I had more sensitive stuff in there, I would have went WAY slower.
What you have to understand about phosphates is that they are bound into your aragonite in a reversible bind. The bind gets to an equilibrium with your water. The aragonite will bind more and the water level rises - it is exponential. It takes a day or two for the aragonite to release phosphate back to "equilibrium" after you lower the water column levels. It is important to understand this. What is even more important to understand is that you do not want to lower the water column level too far with too much media and have a large downward spike because the upward spike when the aragonite releases will be just as harsh. These spikes cause more issues than the product does. What you want is a slow and stead application where there is a straight-line decline instead of spikes.
My treatment was with spikes, but I did not care about these corals. They were easy-type stuff like GARF Bonsai and Sunset Millepora, some LPS and some mushrooms and zoas... so they did not seem to mind.
This is an OK video, but figure out your own numbers, but it is a good start: