Do you mean cycled filter or cycled water. The BB aka beneficial bacteria is concentrated in the filter media so just switching the water doesn't help. It takes an ammonia source to feed the BB to grow and multiply enough to take care of fish waste. Pardon the comments if you have already got a cycled filter, but if it was gonna be a 1 G fish bowl then often there would not be a filter.
So I am just checking out the details here so your fish can stay healthy and your snails and shrimp don't die. In my signature there is a link for cycling/ starting a tank. and there is one from Jetajockey on fish in cycling toy can read up on.