We do not offer a shuttle service to the hotel. You have already identified the quickest and easiest way from Heathrow into Central London - the Heathrow Express. Having used it several times myself it has always been quick and easy and arrives into Paddington Station - a 10 minute walk to the hotel. The third option is to take the Underground, but it's about an hour and has multiple changes to get to the hotel. Addison Lee are probably the best service provider, although they are relatively expensive. I hope that helps.