The search results for flights indicate the baggage allowance for the fare:
Hand baggage only - the airline may charge additional fees for checked-in baggage or other additional services
Number of free checked-in bags, or free weight limit, depending on airline (move cursor over icon to see)
In some cases, hand baggage-only fares are also indicated in the fare name, for example, "Economy Light 0 bag" or "Economy (Hand Baggage Only)".
For some low-cost carriers, you may be able to purchase additional checked-in bags and other services - see Requesting Additional Services.