At three months, your tank should be fully cycled. Bringing the old water along was good, if you brought the gravel and filter along that even better.
I am not familiar with Aquasafe, but standard water conditioners are all pretty good and each has its fans. I myself use Novaqua. It depends on whether your local water system uses chlorine or chloramines (you can call and ask them) as to which one will be best for you.
Finally, the general consensus seems to be that Cycle doesn't do anything for a tank, especially if it's already cycled. Even in startup situations, just getting a mature filter cartridge or sponge, along with a little gravel from an established tank, will yield results better than Cycle.