personal suggestion: less than 1, yuan (domestic): prestige; 2W or so: Holton, Houghton, USA, is good in all aspects, and many people use it. Yamaha, Japan is also good, with reliable machinery and durability. It is said that the timbre is inferior. No matter how high the price is, consider Alexander or Schmidt directly. These are authentic German brands, leading the horn industry, and even second-hand ones are in great demand.
Of course, if the child is not going to play for a long time just for the exam, Handel is not impossible, but it is recommended to have a top trumpet. The diameter of the horn mouth should be just enough to wrap the lips when playing. Ask the teacher for the size. As for brands, Schmidt and Alexander have good mouths. JK is also a top-class mouthpiece, which is also good, but the tone is hard.