One quote shows slim room units but no approved exterior route.
THE LONDON FIELD GUIDE / AIR CONDITIONING
Air conditioning installers in London
Start with the facade, not the indoor unit. A London flat needs a workable consent, pipework and drainage route for the proposed cooling system.

START WITH THE PROPERTY
Start with the facade decision
For a London apartment, the limiting question may be whether an outdoor unit, pipework and drainage can cross a shared facade. Obtain the building's rules and send them with the room plan.
BEFORE YOU ACCEPT A QUOTE
Keep approval risk visible
Ask the installer to label every external assumption and quote for a permitted route. A tempting indoor design is not a workable project if the outdoor equipment cannot be approved or serviced.
ILLUSTRATIVE QUOTE COMPARISON
An indoor unit is easy. Where does its heat go?
The other details facade consent, condensate disposal and a serviceable outdoor position.
Decide whether either external arrangement is permitted before treating the room equipment list as an offer to install.
ANOTHER PROJECT AT THE SAME ADDRESS?
Explore the other options in London.
NEXT STEP IN LONDON
Ask how the room will feel.
Once the facade question has an answer, check heat gain, airflow and indoor noise for each space. Permission to install does not prove that the selected units will cool well.