Is the water from your tap different than the water that's in your tank?
If it is then I guess you can do a water change that way, however you don't usually do a gradual water change over days but a single water change usually on a weekly basis.
When you are changing the water you remove at least 30% of it although I like to do more of a 70 to 80% water change depending on how stocked your tank is. Then you replace the water with water of similar water parameters.
For example, the majority of my tanks are just regular fresh water from the tap, I just add a water conditioner when replacing the water. I do have a few tanks that are soft water/blackwater and I use a RODI system and prefilter the water when I need to do water changes to those tanks. I also add a water conditioner to this water before replacing it.
I also have a brackish and two salt water tanks and will replace the water that I removed from the tanks with salt water.
For all of these tanks when I do a water change I will gravity siphon the water out and then replace the water with treated water of the same temperature of the tank I removed it from. A neat tip is that if you add cooler waters to tropical tanks you can usually get the fish to spawn as the cooler waters replicate rainy seasons. I have has many tetras, Cory and plecos breed after a large water change with a cool water replacement. I am not talking icy cold, but a couple degrees cooler than usual.
Hope this helps.