Bottled water is safe for aquariums if you take the usual precautions. I.E. treat it like tap water and use a declorinator just to be safe.
Having said that, I do not recommend messing with your water hardness. Fish actually will prefer slightly hard or even just plain hard water. In other words they will easily adapt to the condition of the water you put them into.
Softer water is more suseptible to pH flucuations and those changes are what can seriously harm your fish. Harder water generally contains a buffer that guards against sudden changes in water pH. If you soften the water, you can easily remove that buffer and end up with problems.
In addition, deviating from the water type prevalent in your area makes the maintenance of your aquarium harder as you will be constantly trying to "adjust" the water to match what is in your tank already. This causes more opprotunities to mess it up and cause damage and disease to your fish stock. Remember the fish sold at your LFS will probably already be aclimated to the water type most prevalent in your area.
For the second question, do NOT use ammolock if you are trying to cycle your tank. Using it will lock the ammonia available to your bio bacteria and stall the cycle. Plus, the ammonia reading will never lower without large water changes since the bacteria will no longer be able to break it down.
The best way to mitigate ammonia is through frequent water changes to dilute the ammonia and keep it in the low zone. You can also use Seachem's PRIME to help detoxify the remaining ammonia and nitrites but also keep them available for the bacteria.