Stock purchase versus asset purchase, from a funder's chair
Buy the entity and its bank account continues: the statements run unbroken through the sale, the deposits are the same customers paying the same way, and a revenue-based funder reads the business as the business it always was. Most want to see a few months under the new owner before they fund, to confirm the customers stayed, and then the full history counts.
Buy the assets into a new LLC with a new account: the funder's clock starts at your first deposit. You have the customers, the equipment and the name, and a three-month-old bank account. Under six months you are read as a startup, whatever the sign on the door says. The seller's statements help the underwriter understand the business; they do not usually move the date.
What helps in the asset-purchase case
The purchase agreement, the seller's last twelve months of statements, and your own since closing, side by side, showing the deposits continued at the same level. A funder that can see the same $60,000 a month before and after the sale will sometimes credit the continuity even on a new account — not all will, but the ones that do are the ones to apply to. Equipment bought in the sale can be refinanced as equipment, which needs no history. And a seller note, if you have one, is a reason to keep the first advance small.
The trap in the first year
A business changes hands, a few customers leave, the new owner takes an advance sized to the old deposits, and the daily debit is set for a business that is now smaller. Apply on your own months, not the seller's, and size the ask to what you are actually depositing. The seller's history is context. Your statements are the application.