@Mario F. such creative solutions work well for almost everyone. Someone gets a space in LA where rentals are at a premium. You get a little extra to pay the bills. However LA City have some strict laws in place. You may have heard that this is the land of the Free but the "r" in there was a typo back in the day. It's actually the land of the "fee" :) Jokes aside you can often get away with things like that even if they're not permitted provided you don't put noses out of joint (with neighbors/tenants etc). However, if you do get an inspection or reported the consequences can be extremely harsh. From paying extra permit fees to tearing it down to more which I'll talk about below.
From the city's perspective they have reasons for their restrictions and permits. And truth is if we don't follow these agreed upon requirements (zoning etc) then our city will be more like a 3rd world city than the great place it is.
Further, I believe that ignorance is bliss and that if the city becomes aware of an illegal something they can then be sued if they don't do something about it. So they are compelled to take action.
There are people you can talk to in the various departments (planning, building and safety, fire and more). They can be found at 201 N Figueroa St, Los Angeles, CA 90012. There are also satellite offices around the city.
http://cityplanning.lacity.org/
They are quite friendly and helpful. However, I do recommend you ask each question to 3 different staff members as you will often get different and even competing answers depending on their level of experience. There is a "concierge" desk I believe it's called. This is a good place to start as they have the more experienced staff there and you don't have to have such a defined idea of what you want.
They will look up these tools amongst other things (these tools are awesome btw):
http://zimas.lacity.org/
http://navigatela.lacity.org/navigatela/
There you'll get a load of information from zoning to issues related to the property to details of the property to services in the area, whether it's a landslide zone, hydrants, sewer, RSO, Ellis Act and much more. A gold mine.
Also check out the county sites. You're in LA City in Cypress Park but the County still has some good info.
http://maps.assessor.lacounty.gov/
http://planning.lacounty.gov/gis
http://planning.lacounty.gov/gis/interactive
http://planning.lacounty.gov/znet
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I met a guy who was house/rent hacking. He rented a warehouse and then set it up with a few artists + plus his family. He was a bit of a hero as the landlord was getting good rent paid every month, the artists had a good cheap space to live and work and he was paying zero rent. Until one day he fell and the ambulance/fire people came. They took him off to hospital to mend and a little while later an inspector turned up. There were many issues including some non permitted rooms that had been put in by the previous tenants (a business). They all had to leave and the landlord had to pay relocation costs ($50k) as they knew it was happening (and believed it was all ok and within the law).