Any of those brands should serve you well. They all have comparable features and performance, so I would strongly suggest going to a store and holding them in your hand to see which is most comfortable, and whether your fingers can use the controls easily. Some people prefer an upright form factor, others a traditional camcorder style, etc.
As far as stills are concerned, rather than use the still feature on my Elura2 MC, I find it much easier to just take videos and then use iMovie to pull stills from the video. Also, you might want to consider a model with progressive-scan. It's my understanding that this can give you better stills from fast-action videos.
Get extra batteries - you will need them. Consider whether you want to charge batteries on the camera or on a separate charger. Mine uses a separate charger, which I like because I can use the camera while my spare battery is charging.
As long as the indoor sports venue is well-lit, you should get good images. The less light you have, the grainier the images. If they will let you, try taking some test video inside the store - that might give you an idea of the low-light performance. If you end up buying on the web, buy some accessories from the store out of appreciation for their time.
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