The LM358 is not really designed for audio or AC signals, because as you're about to see, it adds a weird form of distortion called crossover distortion. Maybe you'll find some interesting use for it, but I don't know of any commercially available music or audio devices that use LM358s and I'm pretty sure this is why.
The TL072 dual op amp, which you also have, was literally made for crystal clear processing of audio signals. You can see right on the first page of the datasheet that Texas Instruments advertises that a good application of these is "Pro audio mixers".
So now let's see what this crossover distortion looks like, then pop off the LM358 and replace it with a TL072 and see our slightly mishapen sine waves be replaced by some nice clean ones.
And now a little digression about different audio op amps, and about selecting parts for your analog projects in general:
Are there endless subtle differences between these TL072s and every other model of audio-friendly op amp? Yes. Are there small differences in things like noise and frequency response? Yes. Can you hear those differences in a simple one-stage amplifier circuit like this one? I've never been able to.
If you keep going with analog audio circuits you'll be introduced to op amp concepts like "slew rate" and "gain bandwidth product" which come into play in certain circuits and can noticably affect frequency response. But you don't need to worry about them now.
One useful and interesting difference between different audio op amp models that I'd note for now is that they vary both in how much power they use, and how much power they can output.
The NE5532 op amp, a dual op amp made specifically for audio, is a good contrast to the TL072 and one I've used for teaching before. It uses more power, and so will drain a battery faster. But it's output pins can output more power, so you can get a better and louder sound if you plug a speaker directly into it.
The TL072 is actually more succeptible to being randomly fried by static electricity when you touch it, just due to the specifics of the circuits inside. Every semester a few of my students fry them from normal use, through no fault of their own. But the NE5532 uses more power, and the risk of one student in ten randomly destroying an op amp, versus having everyone run out of battery faster, seemed like a good trade off, so I've switched to the TL072.
If you get deep enough into analog that you're designing your own circuits from scratch, you'll find that there's endless different components you can use, and every choice you make will come with similar tradeoffs - accuracy, power usage, safety, price, etc.