Tap water is fine as long as it does not have a lot of bromine or chlorine and if it does let it sit for a few hours to gas off. Make sure the water is room temperature not freezing cold as plant roots don't like cold feet just like people 🙂
You don't need distilled or filtered as you lose some minerals that the plants can use. Be careful if you're on well water as this needs to be tested or if your tap water is very hard it might need some adjusting.