There are lots of ways of thinking about active water filtration.
Here is a photo I took of a typical water filtration system in an Earthship at the Earthship Biotecture Academy in Taos. From left to right, the water passes through a series of smaller and smaller meshed permanent water filters.
The first stage is a 100 micron spin-down permanent water filter with a cleanout valve at the bottom. The filter catches any particles and holds them until it is cleaned out. That way the filter never needs to be replaced, you just empty it occasionally.
After the first filter, there is a water pump to create the water pressure for the rest of the system. (This is the one I use.)
The next stages are two more permanent spin-down water filters with smaller meshes to catch more particles. These filter out any sediment that may have gotten caught in the rain water catchment system. The last stage is a ceramic drinking water filter just like the Burkey has.
Some would argue for adding an additional UV filter to make sure the water is perfectly clean before drinking it.
At this point, the water is safe to drink, but it may still have flavors or alkalinity depending on the source. You may want to consider adding a multistage whole-house water filtration system at the end of the Earthship system if you have any issues with taste or alkalinity. A full reverse-osmosis uv water filtration system is actually not very expensive, and it also helps with the pump lag, since it comes with a pressure tank at the end of the filters so that you don’t have to wait a moment for the pump to catch up when you want water.