u can try ordering a kit online.u can find cheaper deals that way though it will take a few days to come in.but the first week or so dont really need to worry about testing i think.i didnt test until like 3 or 4 days later once i knew i would start to have readings.
only way to really cycle without a test kit and assure its cycle is to just give it the normal amount of time it take.i say 5 or 6 weeks and after that it should be fine as long as u dont rush a lot of fish into it.1 fish every couple days basically.
i dont know if its just me or what but i noticed when my tank cycled.it had a different smell.the kinda smell when u go to an aquarium shop and u smell the tank water..though i didnt keep smelling it everyday.i just noticed that smell about the time mine cycled.but wouldnt rely on that at all..
cycling takes time.
i did research online and i read if no tet kit wait about 3 or 4 weeks.mine took almost 4 weeks to cycle.some1 else i know took the same amount of time.giving it 1 more week just to be safe is a good idea.