Define the service before the brand
Write down exactly what a client receives each month: categorized transactions, reconciled accounts, a set of reports, perhaps invoicing and bill tracking. Decide the turnaround you commit to and what falls outside scope. A service that fits on one page is easier to price, easier to sell and easier for staff to deliver consistently.
Then give it a name. Some firms use the firm name alone; others create a product name for the bookkeeping line so it can grow separately from tax or advisory work. Whatever you choose becomes the app name clients see when they sign in, so pick something you are happy to live with.