Hi

, I hate to tell you this, but if you have
0 ammonia
.25 nitrite
0 nitrate
Your tank is no where near cycled!
First you have to have a constant source of ammonia in the tank.
If you are doing a fishless cycle, it has to come from somewhere to feed the (hopefully increasing) bacteria. If you don't feed the bacteria that convert ammonia to nitrite, they will die off, and you have to start all over..... Re-read the article on the
nitrogen cycle as it gives specifics on how much of what you need to use.
Once you have a constant ammonia source you will always read some ammonia, until the tank is cycled. The ammonia goes up, then the nitrite, then when they both go down to 0 and the nitrate is up between 5-10 ....your tank will be cycled.
Its a good thing you got your API kit, it will make doing the tests a lot easier.

Good luck and take your time. It will be worth it in the end.