Ditto. Most will deal with your gear if that is what you want and will pick you up.
For condos, I'm not a big fan of the mid-rise options like Caribbean Club, etc. Don't get me wrong, they are very nice and C Club has a good restaurant, but I'm not a fan of being on the 5th floor when there are very nice condos where you can walk right out onto the beach and have 1/4 the population density.
Same same for the Ritz. It's a Ritz so it's nice, but it might as well be a Ritz in Los Angeles unless you spend a fortune to be on the beach side. I've only eaten there, but the entire time I felt like no one there really experienced Cayman at all. It just misses the point.
There are tons of options further north that are very, very nice, but much less crowded and with more direct access to the beach - i.e., walk out of your unit onto the sand. Plantana, Avalon, and several even further north - Christopher Columbus, Silver Sands. Everyone is different, but for me, they hit a sweet spot where I feel like paying any more would only get me less.
My kids are 14, 12 and 8 and we've been there every summer, so we've covered the whole spectrum of kid activities. Turtle Farm, obviously, though I'm glad my kids are old enough that we can skip it now. That young, it's a little challenging. The Atlantis Submarine was a hit. There's also a glass bottom boat. Camana Bay at lunch time if the fountains are running is fun because they can run around and splash and the gelato place is great. Stingray Sand Bar and Starfish Point make a good combo, especially if you do it by private charter, though that'll cost more. Skip Rum Point, which is a ye olde tourist trap for day visitors. Same for trinket shopping in G-town.
Check the Cayman Port Authority website for the cruise ship schedule and plan your visit to the popular sites on days when there are no ships in port or maybe only 1. Stingray Sandbar, Turtle Farm get slammed when there are 3 or 4 ships.
Renting a car is personal preference, but I recommend it. It's the one thing in GCM that is reasonably priced and very helpful if you are in a condo.