My husband and I are traveling to London for the first time and arrive next Wednesday morning. We would love to take a day trip into Edinburgh but are having a hard time finding a reasonable ticket price. We've priced the train but it appears to be pretty expensive. We would appreciate any insights you have into best day to travel, sites to check for discounts, etc. We also are taking the train to Paris, the cheapest ticket we have found is $134 pp, is that a good deal?