I am trying to find the easiest way and the best price to get to our Hotel Comfort Inn Buckingham Palace from the LHR airport,thanks
You will be around the back of Victoria rail station, just 150 yards or so to the Victoria Coach terminal.
The nearest tube is Victoria, served by both the Circle and District Lines and the Victoria Line.
At the moment it is all stairs leaving the ticket hall, and steps up from the Circle and District. It is an easy ride in on the Piccadilly Line from Heathrow and a step free cross platform change to the District Line at Hammersmith.
But you do have to carry whatever luggage you - and or your gang - have with you up the stairs at Victoria. Then you have to come out the right-hand end of the station and walk around it before you get to your hotel.
On the other hand, if you take the coach from outside the airport to the Victoria Coach Terminal, you have to walk a bit further at the Heathrow end, and wait for coaches which are much less frequent than the Tube, and getting tickets on the coach is a bit of a faff, and you get to approach London on a Motorway and and then in traffic, and you have to put your luggage under the coach, but you don't have to change and when you arrive it is a relatively direct walk to the hotel.
You and yours are travelling light, right? One carry on each only?
Easiest and best price are often mutually exclusive. You can get directions from the LHR website. You can also email your hotel for directions. The time of day and day of the week can be big factors too.