A repeater is specifically designed to amplify or regenerate signals in a wireless network to extend the coverage area. It would be the best choice to maintain stable wireless signal strength throughout a large area without adding network complexity or creating additional network segments. Wireless access points, while they can extend wireless coverage, do more than just amplify an existing signal. They create additional segments and are typically used to provide network access points, not simply to extend the range of the current signal. Range extenders also can increase the coverage of a wireless network but are often more complex to set up than basic repeaters because they may involve additional configuration to seamlessly integrate with the network. The bridge is not the correct answer because it is primarily used to connect two different network segments, not to extend the range of a wireless signal within the same network.