Not on 10k .............you need a budget to go with the wish list. Or a wish list to go with the budget.

Have you gotten a ballpark on what a splashpad costs? Your budget is way, way light for what you're hoping to accomplish. It may be worth hiring a LOCAL landscape designer - even if just for an hour consultation - to help you get a sense of cost ranges, and to help you prioritize phases in terms of 1) what you want now and 2) what needs to be done now so X can be done later. Because you're on such a tight budget I emphasize local landscape designer. You need someone with up to date cost data and resources for your specific area.

Unfortunately, $10K doesn't get you to your goals. Here are some ideas for the space:

I agree 10K is no where near enough for all the wants, maybe plan to do this instages. IMO a landscape designer would probably be worth every penny to do this right.

Quadruple your budget. You still won’t get your list. 10 K is new patio furniture, a cheap fire pit, and get out the hose and sprinkler for the kids.

You could probably paint or stain the concrete, string up some lights, set up the games and purchase a few pieces of furniture with an umbrella for shade. That's about it with the current budget. Maybe add a few plants but nothing of any size.

So much depends on your local situation and what is most important to you? Landscaping? Seating? Fire? Games?

A local to you landscaping plan would be helpful. In the meantime ? Think how you want to use it most of the time. A budget of 10 k simply will not go far