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Okay, where do we start? Firstly, you are going to have problems with maintenance because you have got one of the messiest fish around, I would imagine you have probably got a common, or Sail fin Pleco. Both of these can easily grow out even a 60 gallon aquarium. you're not going to be able to keep one Oscar plus this fish in a 60 gallon aquarium so it's time to decide what you're going to do with this large fish, because obviously we can only give you advice based on the proper way to do things. If you do choose to keep the fish and run into water quality problems then the first thing we are going to say is you are overstocked. Anyway, enough of the lecture
You're going to need to get the new aquarium and cycle it properly before you transfer the Oscar. What you could do is take a small amounts of media from the filter in your existing tank and seed the new filters. Obviously you want to be careful how you do this because I would imagine your 30 gallon aquarium has got pretty much inadequate filtration already, please forgive me if I am wrong.
You could try doing a fishless cycle which only takes an absolute fraction of the time cycling with fish does. You will need to obtain pure ammonia to do this. There is a section on the website which explains how to carry out a fishless cycle. Obviously if you do not go down this road then you will probably need to get some more fish. However, you could possibly use the plec to cycle the new tank.
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