I'm not big on Eilat, especially in summer. Too crowded, too hot. However, circumstances brought me to the royal beach in July, and it was great!
Let me start with emphasizing that you have no reason to be there w/o children. If you're with kids, there are multiple swimming pools and the beach to choose from. The beach is so relaxing and fun from late PM to darkness. Location is good. You walk out and have the entire promenade available. Not cheap, but reasonable.