First, take a deep breath. Do another water change, leave things for a little while to settle, and retest. Post your results and the answers to benedictj's questions and we'll help you get everything sorted out. Be as specific as possible about your tank info and maintenance - the more we know the easier it is to help.
One more question, did you clean the filter inserts in tap water or replace them completely? Chlorinated water can kill beneficial bacteria, leading to ammonia and nitrite spikes. If the bacterial colony is wiped out with chemicals (or if you replace all the old filter media with new), the tank will need to re-cycle and you'll either need to get some Bio-Spira, media from an established tank or do daily 50% water changes until the cycle is complete.