I just got a new camera, it's the Canon R10, because I want to take better pictures of my kids and my sister asked me to do some professional shots for her engagement next month. I have no idea what I'm doing honestly lol. The lens that came with the camera is okay but everything looks kind of flat? I want that blurry background look where the person is sharp but the trees behind them are all fuzzy and pretty.

Someone told me I need a prime lens but I don't even know what that means. Is that like a brand? I've been looking online and see all these numbers like 50mm or 85mm and f/1.8 and it's just a lot of math I wasnt expecting. I'm really sorry if this is a super basic question but I'm just so lost with the Canon mirrorless system.

My budget is probably around $400 or $500 max because I already spent a lot on the camera itself. We are doing the shoot at a park in Seattle so it might be a bit cloudy. Does that change what lens I should get? I just want something that makes people look good without me having to stand like a mile away. What do you think is the best one for a beginner who literally knows nothing?...