In addition to using your sales funnel for strategic planning, you can use CRM software like Pipedrive to help you save time and focus on moving more customers to the end of your sales funnel with automation tools and activity reminders. For instance, the Smart Contact Data feature can decrease prospect research time and email templates can save time spent on drafting emails from scratch.
Prospecting and marketing are all the things you do to get people into the first of your sales funnel stages. Note that stages are broken into two or more steps wherever possible. A demo could be called a single stage, but in real life it involves a lot of things: contacting the customer, sending reminders, doing the demo, and then following up. Whatever your own sales stages look like, the support you need in managing them will be the same.