Those are super fun ages and there are a LOT of really excellent options for them! I am 100% behind Takenoko; that game is beautiful and fun, easy to teach, but requires some strategy and critical thinking/planning ahead. Anyone can play it, but it takes some work to master. Very accessible to a wide variety of age groups. It’s also not aggressively competitive - yes, they’re working to get the most points, but the objectives are hidden and it’s not like they will have to directly attack each other or ‘screw’ one another over in trying to win.
I agree with @Sharpe on Azul. Wingspan is also great, but it’s got a LOT of elements and is a little complex to get started with, so I’d only choose that one if you’re willing to sit down with them and help them get going.
I also recommend Forbidden Island. It’s a co-operative game for up to 4 people where you’re all trying to escape a sinking island together. Amazon currently has it on sale for $9.99, too, so it’s an inexpensive buy. It requires teamwork and communication and it’s great for all ages at the table.
The 5-Minute Dungeon or 5-Minute Marvel games are also a great choice. Communication, fast-paced action, and teamwork are important in these games, as you’re all working together to take down a boss in less than 5 minutes by playing the correct cards as a team. It’s very exciting and easy to pick up, great for adults and kids alike.
I also would like to suggest Sushi Go Party or Sushi Roll - these are cute, fun, fast, and easy. Great for families! The first one plays up to 8, the second plays up to 5. The art is fun and sounds like it would probably appeal to your kids. Really, anything by Gamewright tends to be a safe bet for great family engagement.
Also, anything by Calliope Games (specifically any iterations of Tsuro or the game Roll For It!) is a great buy for families. The art is fantastic and engaging and the gameplay is fun with a little bit of complexity and friendly competition.
I have a LOT of mixed ages come to my table to play, and I ran a school program for a number of years where I tested and tried a lot of games to see what stuck. I have many more suggestions, but I don’t want to make this post 30 pages long. ;)