Booking is not the same problem as retention
Booking software solves scarcity of time. It makes sure two clients are not in the same chair and that the client knows when to arrive. That problem is real and general purpose tools solve it well, which is why so many lash artists are perfectly happy with a plain calendar attached to their reader.
Retention solves a different scarcity: the natural lash. Extensions live on a hair that sheds on its own schedule, and the window where a fill is still a fill and not a near full set is roughly two to three weeks wide for most clients. Miss that window and the same client costs you twice the chair time for the same price. No calendar notices that happening, because a calendar only knows about the appointments that exist, not the ones that should have been booked.
Running Square Appointments and LashRetention together
The common setup is simple. The client books and pays through the calendar she already knows. At the end of the appointment you log the retention entry here, in under a minute, while she is still settling up: how many extensions were still attached, where the fallout sat, what adhesive and room conditions you had. The next due date comes out of that, and the rebook prompt goes out on it.
Nothing duplicates except the client name. We do not take a cut of any ticket, we do not need her card, and we do not write to your calendar. The only discipline the setup asks for is that retention entry at the end of each appointment, which is the same 40 seconds most artists already spend writing a note in their phone.
When a single system is the better call
If you are new, working part time out of a rented room, or carrying fewer than about 25 regular clients, one system is genuinely enough. At that volume you can hold every client's cycle in your head and a spreadsheet, and the honest advice is to keep your money and revisit this when the book fills.
The moment to add retention tracking is when you can no longer name, from memory, the clients who are drifting. For most solo artists that lands somewhere between 40 and 60 active clients, when the book is busy enough to look healthy while quietly stretching from three weeks to five.