Hiya sib, yikes yeah you've got quite the problem on your hands here
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did the filter ever dry out or have you changed the filter media (sponges, etc) for new ones since you got it? It's just that it's a bit strange to get those sorts of readings with a tank that's been running for a while.
I think you are probably going through a fish-in cycle now. Something has happened, maybe when you moved the tank, that has killed all of the bacteria that keep your water clean. Do have a read through of the link I gave you before about the nitrogen cycle and fish n cycling.
Now more than ever you need your own test kit because you are going to have to test at least daily for a little while and maybe more than daily. Your ammonia and nitrite should both be 0, anything above that number is deadly to your fish, especially at the numbers you have right now. What you need to do is remove as much water as you can while still leaving enough for the fish to swim upright. Then refill the tank with roughly temperature matched and dechlorinated water. The key is to never let water that hasn't been dechlorinated touch your filter so your filter (and heater) should always be switched off until you are finished with a water change. Unfortunately because your numbers are so high you may need to do 2 or three water changes of this size to get the readings back down to 0. Sorry for the bad news
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Luckily, you can do these water changes back to back without harming the bacteria in your filter or you fish as long as you followed my instructions above.
Once you get those readings down to 0 the first time. They are much easier to maintain by doing daily water changes. This
may go on for a few weeks. It's very hard to say because this tank has been running for a little while. But like I said you really met get a water test kit so you can prevent the ammonia and nitrite from reaching harmful levels (anything over .25). Don't worry too much about your nitrate as it's not harmful unless it's in numbers well over 100.
I hope this doesn't seem overwhelming for you. Once you get though this rough patch I'm sure you'll have a lovely tank which only needs a water change once a week. If it all sounds confusing just be sure to read those links I mentioned and it will make a lot more sense.
Thanks for the offer but don't worry about sending me a picture of your test
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If you ever want to post pictures here though, the best way is to open a photo bucket account and post the link or image code here so that everyone can see what's going on.
The last thing to talk about is what fish you have in there because if you have a lot of fish it will make keeping the ammonia and nitrite down even harder. Plus some fish don't live well together and it's a common trap for new fish keepers to fall in to because LFS (local fish stores) aren't always reliable in the advice they give.
WOW! That was a lot of info, good luck and please feel free to post anymore questions
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No one will think they are dumb