How to choose the right brazier, grill, barbecue and more for outdoor dining?

Recently, in addition to the traditional barbecue, a large number of different appliances have appeared on sale. Understanding them and choosing what you really need is sometimes not so easy.
What's the difference?
Barbecue - usually a rectangular box without a grid, with skewers.
Grill - a round cooking unit with a wire rack and (not always) with a lid.
BBQ - rectangular brazier with grate (usually without lid).
Grills and barbecues differ in the type of fuel they use:
Gas (requires gas tank), coal and wood (less common). In our country, charcoal grills are more common, and for example, in America - gas grills. The advantage of the latter is that they are much less of a hassle: to light a fire, you just need to press a button, and the required temperature in the gas grill will be reached within 10 minutes.
However, a gas grill doesn't impart that special, subtle smoky flavor to the food and is much more expensive than a charcoal one.
Choosing the right grill…