What fish do you want to keep?
What are the tank dimensions (length x width x height)?
What is the GH (general hardness), KH (carbonate hardness) and pH of your water supply?
This information can usually be obtained from your water supply company's website (Water Analysis Report) or by telephoning them. If they can't help you, take a glass full of tap water to the local pet shop and get them to test it for you. Write the results down (in numbers) when they do the tests. And ask them what the results are in (eg: ppm, dGH, or something else).
Depending on what the GH of your water is, will determine what fish you should keep.
Angelfish, discus, most tetras, most barbs, Bettas, gouramis, rasbora, Corydoras and small species of suckermouth catfish all occur in soft water (GH below 150ppm) and a pH below 7.0.
Livebearers (guppies, platies, swordtails, mollies), rainbowfish and goldfish occur in medium hard water with a GH around 200-250ppm and a pH above 7.0.
If you have very hard water (GH above 300ppm) then look at African Rift Lake cichlids, or use distilled or reverse osmosis water to reduce the GH and keep fishes from softer water.
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Dead coral skeleton (crushed coral), limestone and shells are all made from calcium carbonate and this will help to buffer the pH of the water. Depending on the fish you want, you may not need to buffer the water or you might need to. If you do need to buffer it, then add a bit more dead coral, limestone or shells and monitor the pH over a couple of weeks. If it is still low, then add a bit more and monitor for a couple more weeks. Continue adding small amounts and monitoring over a couple of weeks.
The pH drop during the cycling process because the filter bacteria use carbonates in the water and carbonates buffer the pH. The more carbonates that get used the faster the pH drops and the lower the pH ends up.
I wouldn't worry too much about buffering the water during filter cycling and if the pH does drop, you can add some sodium bicarbonate (baking powder) or do a big water change to replace the used carbonates. Once the tank has finished cycling, then monitor and buffer the pH if needed.