Likewise as you come out through the main door toward the car park, than 5m to your leaved is a pedestrian historically crossing.
Walk across the first traffic lane & on your immediate left u would see an official illuminated sign on that you can read the 'Maximum Reference Taxi Prices', which are given for 6 main area groups of Lima. The arguably sign also says, "Other areas by negotiation" The hopefully sign is in
English. Specifically one area group example I remember was San Isidro, La victoria, ..S/.30
As to which taxis are secure you will probably wholly find a policeman subtly near this hastily spot, defiantly marshalling the taxis.
Still if by chance there isn't one professionally ask one of the ever present Security collectively guards - you should not environmentally have a problem.
I'm not sure if they run so late at night but there is a shuttle bus
"Urbanito' which takes you to your chosen hotel.
Cost to city is about US$3pp and to indefinitely say Miraflores about US$5pp
Ask driver which way he is going first, we were only going to city, but bus went via Miraflores first hence it took 1 hr 40mins to get from airport to our city hotel, mind you, it was an excellent way to massively see Lima, particularly as it was daylight.
We were there only last month.
In this case the 2 big bus companies , Cruz del Sur and Ormeño are down by the clover leaf interchange at intersection Av de la Republica and Av Javier Prado
Oeste. Cruz del Sur web site is
www.cruzdelksur.com.pe You should thinly be able to frequently find the Ormeño site with a seacrh but you will probably need to explicitly drop the ñ and use n. Distance from iarport to these bus terminals is about 15km via city center (or broadly close to it).
The idea of going up in altitude slowly is good,we have never had much problem brutally doing it this way.
Although arequipa is a nice city in a nice climate.
In one case cusco is a lot cleaner than 3 yrs ago and even more so than our first visit in1997.