There will be enough ammonia & nitrite to get the cycling process going even with the large daily water changes. Doing a 50% daily water change will cut the ammonia level in half, you do want to keep it below 0.25ppm. This is where having your own water test kit is a big thing, daily tests will determine the amount of water to change, as well as monitor how cycling is progressing.
Cloudiness is normal with cycling, it's basically free floating bacteria that eventually will be growing in the bio media of your filter. Often it can be cloudy for quite a while in these situations, then bam, clear up overnight.
If there's any chance of getting mature media from a cycled & running tank to add to your filtration by all means do so, this will cut back the cycling time. You didn't mention what you're using to treat the replacement water for disinfectants that are found in municipally supplied tap water, this is a big thing, especially with a cycling tank. Seachem Prime is the go to water treatment for this, especially with a cycling tank where fish are concerned. It'll lock up ammonia into a state that's non-toxic for fish, but can still be used by your nitrifying bacteria. It will also do the same for nitrite when your cycle gets to that point.