rental problems, ask for help.

We moved into a personal owned condominium end of June, and we were asked to sign a lease with the landlord on June 4th while holding the condominium,and pay him the whole month and deposit, at that time the landlord still lived there, she told us she will clean up the apartment before we move in.but when we moved in, we just noticed that she didn\'t clean the apartment at all, only hire somebody to clean the carpet.
I think partly it\'s our fault since we signed the lease to early, and we didn\'t check the whole apartment before we move in, only believe what she said she\'ll do the cleaning. we have two little kids, one is only new born. as I know when I live in the Irvine company apartment,
1. we do a move in inspection after we move in, does it work for residential lease?
since in the residential lease, we signed the lease as it said the condition is clean.
2. we found the faucet broken and leaking underneath.
3. the shower faucet is too old,so we can\'t adjust the temperature, we told the landlord, he doesn\'t want to fix it, since it\'s too old, they need to be changed.
4. the refrigerator is not working well, my son\'s milk gets bad after 2-3 days.
what can we do with all these problems,
since in the lease, the landlord add terms like:
Unit rent as it, no additional repair or service given by the lessor, lessee will be responsible for the maintainance.
I would really appreciate if you can give me some advice how to deal with these problems.
Thanks a lot