Yes, its the same thing as if you were stuck in a car garage with a bunch of carbon monoxide coming from the tailpipe, you wouldn't be thinking about eating.
OK, Excellent! You are taking action! You got your water tested, saw the poison and realized why the water changes are good. You're ready to learn about Fish-In cycling! First requirement is the thing everyone should buy even before they get a tank, a good liquid-reagent-based test kit. I and many others here like and use the API Freshwater Master Test Kit.
In Fish-In cycling your manual labor making water changes serves as the filter! The goal is to use your new test kit to measure the ammonia and nitrite(NO2) levels. You want to be a bit of a detective and figure out the percentage and frequency of water changes that will allow you to keep ammonia below 0.25ppm and nitrite(NO2) below 0.25ppm by the time you can return home to test again and potentially change water again. Most people fall into a pattern of morning and evening testing such that the they are home at times that are 12 hours apart. If you have a lot of fish it will obviously take more water changes.
Because your bacterial colonies in the filter are extremely weak and your fish are somewhat stressed, you have to use good water changing technique. Use a good conditioner (Seachem Prime, Amquel+ (think I'm remembering that one right) are good ones) at maybe 1.5x the amount they say or even 2x what they say but not more than 2x (double dose.) Also use rough temperature matching (your hand is good enough for this.) If hauling a lot of buckets is a problem then investigate the various hose systems that can be used to make it easier.
Post up your tap water stats here for the members to critique, so we'll know if there are any "gotchas" with your tap water when you do water changes.
~~waterdrop~~