Start-up capital isn't the solution for 90% of brand new start-ups, in fact it's usually a problem. Most likely, if you look at your business plan straight on, you will see that you actually CAN start your business without other people's money. Usually it's a waste of time anyway because nobody with any common sense trusts you to be able to effectively manage their money.
1st - You could be making the best pizza in town, but that doesn't make you a good pizzeria owner. Think about who you give your money to, they're experienced at what they do. Investors feel the same way.
2nd - New business owners blow money on stupid things. It's not their fault, they just don't know any better. You are going to make mistakes because you are new and there's no shortage of other people who have already been around the block a few times who want to borrow money. The smart money will go to them.
3rd - All your early money will be going into building infrastructures that already exists in established businesses. Again, money will flow to where it has been treated well.
Your business plan should be for you personally, it's not some 30-page advertisement. When you think you need money to complete a task, the first thing to do is to find a free work-around. If it's part of the critical path, spend from your own pocket. If you can't afford it then see if there's a barter solution available.
If you can't do it on your own, it might be a great idea to get involved with a business that's very similar and already established. Mentors and coaches are SO valuable. Swallow your pride and go learn from a veteran. It will save you time and money and grief.
So stop walking around with your hat in hand and start working on your projects. Make a plan, take action - rinse, repeat. If you do that for a while you'll start to feel pride in your abilities. People will begin to get interested in what you're doing and eventually they'll start to offer you money. Now THAT'S a nice position to be in.
Starting on your own is the best thing in the world. Believing in yourself enough to jump the cubicle and be an entrepreneur is exciting, it's fun and it proves mettle. Go for it.