Create each page with an obvious purpose and get independent feedback on it.
If you try to talk to everyone, you won't end up talking to anyone. For example, if you find that the vast majority of impressions on your site or landing page come from women aged 24-44, this should reflect the context of your site. Using context, language, and messages that emotionally connect and resonate with this audience can make a big difference when it comes to conversions.
If a visitor is on your site, they are interested. Now you just have to offer them something to jump on. Show them your solutions, prove your worth with examples or reviews, give them an offer they can't turn down, and ask for action. You don't have to be intrusive, but try to be concise.
No matter what campaign you're running, conversion should be at its core. It doesn't matter if you have a non-profit or a billion-dollar company. Without conversions, growth is impossible. So don't just try to get the audience's attention, try to get them to a specific event.
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