If arriving and departing T5 (arrival is 2pm, departure is at 9:30am the following morning), which Hilton would you suggest for ease of getting to T5 in the morning? Booked at HGI T2 at the moment because originally the flight was due to depart T3 (and I like the HGI) but should that be changed to either the T4 or T5 Hilton? Price is not an issue but ease and speed of getting to T5 is, preferably without having to use a taxi. Or is a taxi the only way to go? Had thought to stay at the airport to avoid any problems getting back there the following morning but should one consider even Paddington? The HEX seems pretty pricey with departure in 2 weeks.