There are number of factors which could influenze the taste of tea. The quality of water used and the tea which is used for brewing. Before you go rushing out to buy an expensive filter or other charcoal filtering device do a taste test at home. Using your favourite tea prepare a cup of tea using tap water and another using quality bottled water. You are now the judge, taste the difference if one exists.
For more information about different types of tea like WuLong tea