From Heathrow take the Piccadilly line towards Cockfosters. Alight at Hammersmith and walk across the platform to an eastbound District line train. Alight at Victoria and use the Victoria Street way out. Walk east along that street (you'll pass the Victoria Palace theatre and Cardinal Place) with Buckingham Gate about five minutes' or less walk from the Underground station. Turn left at the junction with Buckingham Gate and walk a few metres to the hotel.
There are stairs up from train platform to street level at Victoria; if you'd like to avoid stairs but spend a few more pounds take the Piccadilly line from Heathrow to Hyde Park Corner. There is an escalator up from train platform to the ticket hall then a ramp up to street level at exit 1 Knightsbridge north side. At street level hail a taxi for the short-ish journey to the hotel; fare should be £7 - 10 for the journey.
A cash single fare on the Underground from LHR to Victoria (or Hyde Park Corner) costs £4.50. If you use Pay As You Go (PAYG) on Oyster, the fare will be £2.40. If you're staying in London four or more days and travelling on your own then a seven day Travelcard may be a better bargain.
If you're travelling with another person and would like to use the offers shown at www.daysoutguide.co.uk you'll need to buy Travelcards at a rail station ticket office, as they'll be considered rail tickets for the offers.
Depending on what day of the week you're travelling to Dover, you could take the train from Victoria or the fast train from St Pancras station. Let us know when you're travelling and when you need to be at Dover Western Docks, please.
Thank you for your detailed response Traveller Plus.
We'll be going out to Dover for a cruise that leaves at 5 pm, so we'd like to be out there by 2:30 & it will be on a Saturday, August 21.
It sounds as if you're staying in London just overnight before heading to Dover. If that's the case and if you want to do a bit of sightseeing in London on Friday then buy one day Travelcards at Heathrow; you'll need cards for zones 1 - 6 for £7.50 per person.
With the cards you'll be able to take the Underground from Heathrow to your hotel and then use the Underground, buses and DLR (if you're not too jetlagged and want to head towards Greenwich or beyond) as much as you would like.
For the journey on Saturday, there are trains from London Victoria to Dover Priory (you'll need to take a taxi to the cruise ship docks) at 1052 and 1152, arriving in Dover at 1248 or 1348; single fare is £27.30. Fast trains from London St Pancras depart at 1112 and 1212, arriving at 1221 and 1321; single fare is about £32.
No change of train is needed on any of the services I've mentioned, and the Off Peak fares may be bought on the day.
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