We've decided to take the Heathrow Connect to our hotel because of the cost but we are flying into terminal 4 and it doesn't look like it goes to Terminal 4. How do we get to the Heathrow Connect? I was going to purchase my tickets on line but it looks like you still have to use the kiosk and enter your credit card when you get there so is there an advantage to purchasing ahead of time? This is probably the only time we'll be using rail service for this trip so I really don't want to get a pass. Just a one way ticket to Paddington Station which is close to our hotel. I've tried calling and was on hold for 15 minutes. I've emailed twice but no reply. Any advise?