The handbag is considered by some companies as a cabin bag in its own right. Some allow you to carry an accessory in the cabin in addition to your cabin baggage: small purse, laptop, camera or camera.
Clothing covers are generally considered cabin baggage, the dimensions of which are sometimes limited.
For babies (under 2 years), a baggage allowance can be granted by the company to carry changing bags, booster seats, strollers cane, etc...
Contact your company to make sure everything is in order for your flight.