I have good news & bad news.
First the good news: You have a lot of options.
Now the bad news: You have a LOT of options. (Canon makes 16 different lenses in this category).
Daytime games makes a HUGE difference in light. (electric field lights only seem bright until you take a meter reading and realize... they aren't all that bright). The reason this is an important difference is that to freeze action and avoid motion blur, generally a shutter speed somewhere around 1/500th or above would be good (faster if you can get away with it). When you don't have great lighting, you're forced to push up the ISO gain in an effort to compensate. To avoid having to push up the ISO gain so much... a low focal ratio lens could be used and that would buy you at least 2 full stops of aperture (lens collects 4x more light) which means you can use a shutter speed 4x faster in trade.
But low focal ratio zooms are expensive (think $2k+ category)
Since you're shooting in daylight conditions, you shouldn't need a low focal ratio zoom.
A 70-200 zoom is a good choice if you can get close to the action. For things like football and soccer fields... this can mean you're moving up and down the sidelines to follow the action ... a longer lens might make that easier.
Canon makes FOUR different 70-200 versions. All of them have extremely good optics.
There's an f/2.8 version with Image Stabilization (IS) and a version that doesn't have IS.
There's an f/4 version with IS, and another without IS.
They recently updated the f/4 version that includes IS (so now it's version II).
They did a very minor update to the f/2.8 version that includes IS (they improved the lens coating to reduce lens flare... not that the previous version had a problem with lens flare, but ... apparently now it's even better.) That lens is now a version III.
I'm not sure what "decently priced" means to you.
The f/2.8 with IS is about $2100. The f/4 version with IS about $1300.
The f/2.8 non-IS version is about $1250. The f/4 non-IS version is $600.
BTW, the f/2.8 IS version II is still in abundant supply (because they only announced the new lenses last week) and it's $1800.
Aside from the 70-200 group of lenses, what else is there?
Well... for about $2500 (that probably violates the "decently priced" objective) there is the Canon EF 28-300mm f/3.5-5.6L IS USM and while I've never used it, it does get very high marks from those who have used it. It's the "I'm not sure what I'll need so I'll just use this lens that doesn't everything". Usually super-zooms really compromise on image quality... this one doesn't.
Coming down from the $2500 range... there are also a number of "70-300" family lenses.
The first and cheapest of these is actually the Canon 75-300 and, well... it only cost $200. After you use it, you'll understand why it's only $200. Let's just leave it at that. Cross it off your list. "Move along... these aren't the droids your looking for".
Next up are the 70-300 lenses.... the most desirable would be the EF 70-300mm f/4-5.6L IS USM at about $1350. (Anytime you see the red "L" after the focal length, it's a high-end Canon lens).
The L series lenses have the best build quality. Most (but not all) are weather sealed. They have the best optics. They usually (but not always) have very fast/snappy focus motors. And they usually have the best image stabilization system.
You can recognize a Canon L lens at a glance because they have a red stripe/ring around the front of the lens barrel. The telephoto L series are all white (instead of black ... allegedly because black absorbs more heat in the hot sun so they thought they'd paint the lenses white instead. But I suspect it's more to do with marketing because they like how it sticks out in the crowd.)
There is also an EF 70-300 f/4-5.6 IS II USM ... not an L series, and priced at about $500. It's not going to compete with the capabilities of the "L" series lens, but it cost considerably less.
Finally, there's the new EF-S 55-250mm f/4-5.6 IS STM ... this lens uses a Stepper Motor instead of the UltraSonic Motor, but they've remade the optics vs the older 55-250mm f/4-5.6IS II (non-STM version). BTW, you don't want that version (I owned that lens and was never impressed with it. Slow focus. Poor optics. Lots of color-fringing (chromatic aberration), etc. but the new STM version is much better.