Usually what you want to do is get in to one of the pre-sales teams so you are part of the sales process but can still stay technical. This will let you see the sales process and start developing new skills. This is usually focused on the enterprise market where the pricing justifies a more expensive sales process.
You can also do this at a startup but it won't teach you sales typically. Startups are learning how to sell themselves usually, so they don't have a mature sales process or people so if you are wanting to develop those skills go to one of the big consulting firms, or CRM companies etc.