Camera Upgrade Recos: Grainy, blurry photos from current EOS Rebel T3i

[T8rsmom]

Hello! I am looking for some advice on upgrading to a new camera. I am a novice who likes to take sports (baseball/basketball) photos for my son, pics of family vacations. I currently have a Canon T3i but I am not satisfied with the quality of the image. Everything looks grainy or out of focus. I do use manual. What would be the next camera up from the T3i? Should I look at mirrorless? Any help/advice  would be greatly appreciated. 

Thank you. 
Melissa

[deebatman316]

Do you have a budget for a new camera. What lenses do you currently have please provide FULL NAMES of the lenses in question. Everything is moving to mirrorless DSLR camera production has ended. Remaining stock is just selling. The same for DSLR lenses too. Remaining DSLR lens stock is just selling off. 

[kvbarkley]

Can you provide an example of a "grainy or out of focus" shot. Are you shooting full size jpeg's or RAW?

[Tintype_18]

Try a few shots of stationary subjects with Auto setting. See how those turn out.

[wq9nsc]

As deebatman316 noted, the lens is the critical element for sports and particularly low light sports.  A newer generation camera is certainly helpful but if you "cripple" it with a narrow maximum aperture lens in low light/fast action situations then it will perform worse than an older model with the proper lens.  Any removable lens camera is a system and is only as good as its weakest link.

Rodger