The author, Zeno, shares his experience with choosing and acquiring a strong brand name for their company. Initially, they focused on building the product and didn't spend much time thinking about naming until it was necessary. They started with a domain that combined their first names, but later realized they needed a better name as their MVP evolved. They brainstormed a list of words, combined them in different ways, and used various methods to filter their options. To narrow down the choices, they set a timebox and checked if the desired domains were available by looking for clues such as whois records or web.archive.org snapshots. After persistence and negotiation, they finally acquired resend.com for $25,000. The author emphasizes that having a good name is not the key to success, but rather utilizing it well in conjunction with a great product.