Keeping your hot tub clean is fairly low maintenance. Just wipe the inside of the hot tub, at water level, with a damp sponge, after use. Never use household cleaning products on it because this can damage the water filter and pump. You can use vinegar to scrub any scum off the jets or shell when needed.
Your filters are being used if the hot tub is running, and your hot tub filters need a good cleaning to work properly. You can clean them using three methods: rinse, spray, and soak every couple months.