Online survey method: Redesigning existing website for an agency

The situation is that our customers usually hears about our services from others in the city or country rather than finding us through our website. But as our website feels outdated and the provided services have expanded, we want to redesign it. But before that we want to make an online survey, to give to our clients, so they can fill them out. But my questions is:

What would be more valuable to understand, what they think about our current website, what to change, what to include etc. or ask questions that are highly related to the services we provide, like:

What first comes to your mind when thinking about our services? What do you like least/most about our services? And many similar about the services itself...

Or maybe ask both?