I went on a European hotel (superior) tour last summer. Most people have one suitcase and a carry-on handbag or backpack to carry with you on the bus. There is a weight limit on the suitcase (20 kgs or 44 pounds) and on London departures they are very strict about this. If you go over the limit on the day of departure, you will have pay to store some of your stuff for the duration of the trip until you are under the weight limit. There are physical size limitations for your suitcase as well (published in the Contiki brochure), but they are not as strict about those.
However, since they do not weigh your bags after the day of departure, there is no limit on how much you can have at the end of the trip, once you have bought souvenirs and other items.