My daughter and I will be traveling to England in June from the US and are taking the train to Hastings from London for the last part of our trip. Are there white cliffs along the walk from the east cliff lift (through the Hastings Park)? And if not, is there an easy way to get to the Beachy Head area in Eastbourne from Hastings (and then we could head back to London from Eastbourne)? We have spent hours struggling to decide whether to spend the day in Brighton, Eastbourne, Hastings, or Dover... deciding factor was finding the Swan House B & B in Hastings and central location to Old Town and seafront. We won't have a car so it's trains and feet for transportation for us. Any help will be appreciated!