A handbag is a container with one or more handles that a woman carries around with her. Most handbags have things like money, lipstick and a mobile phone in them. In some countries, a handbag is also known as a purse.
A jar is a small container with a lid you can keep things in. Today most jars are made of glass or plastic with a metal or plastic screw-top lid. A long time ago jars used to be made from ceramic or glass, and had lids made out of cork, rubber, cloth tied with string, or glass held on with metal clips and a rubber seal.
A lunchbox, sometimes called a bento box, is a container you put sandwiches in to take them to school to eat for lunch. You can pack anything you like in a lunchbox, like apples, cake or nuts.
A matchbox is a small box designed to hold matches. Matchboxes usually have a rough strip along one or two sides to light the matches with.
When all the matches have run out, matchboxes are handy to keep other small items in.
Pail is another word for a bucket, particularly an old-fashioned wooden bucket.
A pan is a metal container that usually has a flat bottom and reasonably straight sides. Pans may or may not have handles. Shallow pans are called frying pans, and deeper pans are called saucepans.