I'd think much depends on your getting the more precise destination.
"West London" covers a big area. Even if it's just "the West End"
there's a significant difference between, say, Pimlico and Paddington
when it comes to late night pubic transport. Perhaps a toss-up between
(a) hoping for tube + cab or HEX plus cab, with the risk of having to
take a cab from Heathrow or (b) a pre-booked car which should be cheaper
than a cab all the way but more expensive than tube/HEX+cab. All to be
weighted by traveller's fitness, willingness to walk the streets of
Londonat 01:00, ability to fight off marauding gangs, .........
insufficient data, rebooting
--
Robin
reply to address is (meant to be) valid