Transfer fish into a bucket is not a solution. Since there will be less water in the bucket, the ammonia concentration will raise faster in the bucket than in your tank. Not to mention you might have a hard time to install the filter on the bucket.
My best recommendation would be if you can return the remaining fish, please do it. They have very little chance to survive at this point in your uncycled tank. Even less chance if you transfer them into a bucket. So if you can return them, then you can do a proper fishless cycle before start over again.
If returning the fish is not an option, just keep them in the tank. Make sure your filter is always running 24/7. Never turn it off. Every time you do a partial water change, please use the water conditioner on the new water first. What water conditioner did you buy anyway?
You also might want to let the new water sit for at least a day in the same room as the fish tank before using it for water change. It is to avoid temperature shock.
Keep up the partial water change every day, or every other day if the water conditioner you bought is Prime.
You may also speed up the cycle by turn up the air pump, and add a few more air stones. Those nitrogen cycle bacteria can really use more oxygen for faster growth.
Where do you live? Typical tropical fish will be comfortable with about 80F or about 26C. Your water temperature (35~40C) is on the worse than uncomfortable side. You may want to turn off the lights if you have it. Where is your fish tank located? If it is near a window, you should relocate it. It's a big no no to have the tank at a place to expose to direct sunlight. If you have a hood on the tank, keep it open. Water evaporation will help to cool it down a little.
