Here "horses" and "chariots" represent the soldiers who use horses and chariots in battle. The leaders of Egypt are ordering their soldiers to start the battle. Alternate translation: "Go up to battle, you soldiers on horses. Fight furiously, you soldiers in chariots" (See: [[rc://en/ta/man/translate/figs-metonymy]])
This command can be addressed directly to the soldiers. What they were to go out for can be stated clearly. Alternate translation: "You soldiers from Cush and Put, who are skillful with your shields, go out to battle" (See: [[rc://en/ta/man/translate/figs-explicit]])
The ideas of soldiers and going out to battle are understood from earlier in the sentence. They can be repeated. This command can also be addressed directly to the soldiers. Alternate translation: "you soldiers from Lud, who are skillful at bending your bows, go out to battle" (See: [[rc://en/ta/man/translate/figs-ellipsis]])
The phrase "bend the bow" means to pull the string of the bow back with an arrow in order to shoot the arrow. Alternate translation: "skillful at shooting arrows from their bows" or "skillful with the bow and arrow" (See: [[rc://en/ta/man/translate/figs-idiom]])