My experience: with little or no money of your own, it will be difficult to get started. Your post makes me ask these initial questions, some rhetorical, some not:
* Do you own your own home? Does it have any equity?
* Do you have experience working with others rehabbing or flipping houses?
* Do you have any life savings anywhere to tap?
* What leads you to believe it needs $30k in work? How did you come up with this figure?
These questions are really for you to think about. If you've never rehabbed a house before, and haven't been inside, how do you figure it needs that level of rehab? Maybe it needs more than that - maybe less. Point being, what experience do you have to make this kind of educated guess?
Without any money, those are the kinds of questions anyone - if you can find anyone - is going to be asking you before giving you any money. If you are willing to bet 25% of your own money, you will have a much easier time finding someone willing to take a gamble on your skills and bet the other 75%, but if you have nothing to put in, what is in it for the lender? You buy the house for $60k, you find you were right about the $30k it needs, so now you've got $90k in it but find that you're only able to rent it for $600/month and that it has negative cash flow. You decide you don't like negative cash flow, and quit making up the difference, and the bank has to foreclose on the property.
I'm not saying this is what you would do, but this is the scenario anyone willing to lend money is going to go over in their head. Unless you find someone who just inherited a big pile of money, most people with money didn't get it by lending it to high risk, low return endeavors.
20% on $60k is not a lot of money - $12,000. If you don't have easy access to 12 grand, you are probably not ready to buy. I would suggest a second job to save up some cash for playing with first. It sounds like a hard line to take, but it is not easy cake for people who have capital and know what they're doing, much less those who haven't done any properties and don't have any money.