Transitioning Clients to a New Agency

I’m looking for advice on how to approach my current clients about coming to work with me at a new agency. This transition would involve updating terms of business and potentially adjusting rates compared to what they currently have.

Once I resign, I’ll need to pass the relationship to another team member, but I’d really like to bring my clients with me. Since I’ve never navigated a situation like this before, I would greatly appreciate guidance from anyone with more experience on how to kick off this conversation and manage the ‘handover’ process effectively. Thank you!