Checked luggage must comply with both size and weight rules in order to be allowed aboard a plane's cargo area. Though there are no international standards on size regulations for checked baggage, individual airlines provide required information either online or over the phone. There is usually a fee for overweight or oversized luggage. Checked baggage should be labeled or easily identifiable and contain minimal loose straps and tags to avoid being lost or caught in machinery. To get specific details of checked baggage rules, contact the airline you plan to use.
Carry-on bags are more heavily regulated than checked luggage for clear safety reasons. Airports base the size and weight rules of a permissible carry-on by the space available in overhead and under-seat compartments. While individual carry-on rules vary by company, the general rule is that you may carry one bag and one personal item (umbrella, purse or briefcase.) Some airlines allow personal bags of up to 50 pounds, more than enough for the light packer to avoid checking luggage. Contact your specific airline for carry-on regulations.
The Transportation Security Commission (TSA) regulates what can be carried on domestic and international flights. Sharp objects, explosives, tools and even sporting goods are strictly prohibited in the passenger area of the plane. This is standard for all airlines, though an individual airline may add to the list of prohibited items. However, most of these items (except explosives) can be safely stored in checked luggage. All sharp or dangerous objects must be wrapped to protect security and airport personnel.
The TSA has issued a liquids rule they call "3-1-1 for carry-ons." This rule states that any liquid brought aboard a plane in carry-on luggage must be contained in 3.4-ounce bottles or less, sealed in one plastic bag no larger than one quart in size (3 oz-1 bag-1 quart.) There are exceptions to the rule: baby formula and medications can be carried in larger quantities if they are declared first.
Always contact your airline prior to flying to understand their specific rules and regulations concerning baggage.