Will the new website put me at the very top of Google?
No specific position can be promised responsibly, and anyone who does promise it should make you suspicious. The order of search results depends on a great many factors, including the competition in your region and ongoing adjustments by the search engines, which no one fully controls.
What we can do, and do, is create the foundation on which good rankings can arise in the first place: build your website technically clean and fast, design it to be content-relevant and honest, and consistently align it with your region and location. Those who work solidly here have considerably better chances over time of becoming visible in local results than with a neglected site. We rely on sustainable methods rather than short-lived tricks that can do harm in the long run.