This guide can be quite frustrating to read. You are thinking: "I just want to start my business, do things the right way and keep it simple" and yet, Switzerland is making your life harder, telling you that this is not possible. On top of this, there might be a language barrier making communication harder with the AHV.
This freelance debate comes up very regularly in most countries: authorities think they're are helping and protecting people in fragile economical situations by creating those laws when all they're doing is making their lives even harder and making it even more difficult to earn a living. Uber was another similar debate that the freelancers lost, in some Swiss cantons, Uber drivers now have to work via some employer platform, reducing their revenue even more.
This is the privilege of a country like Switzerland: "like it or leave it" and because salaries are so high here, people don't leave and put up with a lot of bullsh*t.
So unfortunately, if you want to just start a simple cleaning business, your options are to either use a solution like Quitt (that will cost you 10% of your revenue and likely more since some customers might not want to deal with the complexity of it) or simply not declare your revenues, which prevents you from getting insurance, access to social security (and is obviously illegal).
Both are unfortunately bad options and I wish that wasn't the case.