Love to go on a cheap trip around Europe

One day I would really like to take a trip around the world. I already know where I would stay. Just have to book the hotels. I would love to stay at the Four Star Bridge Hotel in London UK to start off with or maybe even the family run Hotel Ballantrae in Edinburgh. I would like to check out Liverpool while I am there and see where the Beatles came from. And then maybe travel on down to Spain to the Hesperia Metropol Barcelona. Maybe watch a little of the Runnin of the Bulls while I am there. I would also love to travel to Dublin, Irland and stay in a really nice hotel there as well. I am looking at Hotel Altberlin prices and they look pretty good. Then I would love to travel to Berlin, Germany because my family is actually from there. I am checking out Hotel Altberlin prices, but may end up going with Kempinski Hotel Bristol Berlin instead because of the atmosphere. I would love to go to Italy as well and try all the interesting and rich foods. I am thinking of staying at the Hotel Apollo Rome Centre ,but may opt for hotel President Firenze instead. As you see I pretty much have my trip all planned out. Now just for the time to go.