There are many places. Look in the itineraries section of this website. But, are you staying in Quito or going off somewhere else immediately? If you are staying in Quito a few days, I’d suggest Hotel Andino: http://www.andinohotel.com. You can email the owner, Miguel Perez, at migueangelperez@hotmail.com and he can help arrange a transfer for you.
If you just need a place to spend one night, near the airport, you might try this — nothing fancy: http://airporthotelquito.com/