Tire Upgrade on a budget

Had an idea, want to see what you guys think:

We want to upgrade tires. I know how my kids ride, therefore some sexy aftermarket wheels seem like a waste, especially for the moment money. I’m thinking of using 10×5 delta steels on the front with a 22×8-10 Mudlite & using the stock rear wheels with a 22×11-9 on the rear. What do u think??
Also, it will have 2 kids in it all the time, does it need the 11T sprocket?