If the plants are in active growth/thriving...they will take care of the byproducts as they break down-especially in heavy planted tanks with lots of fast growing heavy feeding stem and floating plants. The key word....being active growth and this is dependent on proper color temp lights, age of bulb and photoperiod.
With heavy planted tanks you can do the silent cycle-Plants can provide a lot of the limiting factors for the beneficial bacteria. That being-oxygen, surface area and food source-even without a filter. But again, this depends on number, species and growth state of the plants....
With enough of the right species of active growing plants-It may take a long time if ever to see the nitrate reading we look for that tells us cycling stage/completeness-due to the plants using the ammonia before conversion, however, the cycling is still happening....Its silent....plus, hobby grade test kits only test at a ppm level and you will always have some ammonia-then things get converted fairly fast by the bacteria colony too.
IMO/E-you can safely establish the nitrogen cycle without a test kit on hand-you can always take water to the pet shop for test if needed. Without a test kit on hand you will have to guess a bit-but you can make extra water only changes along with the regular water change to error on the side of caution-especially with live plants with a low bioload.
How many and what species of plants, type of substrate and how deep. What kind of lights, age of bulbs, kelvin, watts and photoperiod, type of filter and filter media and additives used. How many days has it been setup.
Nice job on your tank by the way....looks nice.....