You can log on to their webpage and it lists the stops. They do a large circle in Miraflores and the Marriot is close to one of the stops.

No están muy llenos siempre hay sitio disponible

Their website is very informative and easy to navigate. I suggest you take a look at the time table and different stops there. They also have a chat function where you can get help directly.

Miraflores is a relatively safe area of the city. It's the more touristy area. I also landed after midnight and took this bus service to my hotel in Miraflores. They told me how to get to hotel from my stop, gave me info on the local area, and provided a safe, comfortable ride from the airport. This service is much safer than a taxi, simply because anyone with a car can call themselves a taxi in Lima. You'll be bombarded by taxi drivers at the airport and won't know which ones are legitimate or not. If you plan to go this route, I would suggest Uber as there is at least some vetting process there.

Mucho más barato que en otros aeropuertos del mundo... Son súper cómodos y seguros... Aprox ...25 por cada ruta. Si compras ida y vuelta , te hacen un ajuste....