It is hard to get those customers, but when you do, they're the ones that become your salespeople, and you end up with many more in the future.
I've always said that's where I'd aim. Aim for the higher end of the market and be the guy with the higher price (not overly priced for nothing -but give better value for their better money) and enjoy your job a lot more.
It's tricky starting out, but if you only ever did high end work, you'll always get high end work. If you're always priced out of a job, you'll be priced out until you clock that you need to explain a lot lot more to customers about the differences in pricing.