Although there exist, in fact, risk of steganography embbeded inside a file, namely JPEG and SVG, whose formats have big payload and permit to insert overheaded information, the On Line Sites are, in general, safe (t are still on line, so…?); when I needed, for some specific reason, to make punctual conversion, I used them and it was al-right. But, if you go to transform a batch of files, I did advise you to use some standalone tool, like GIMP (it can do pretty more then this, but is a way to do).
I am telling you this because it is really important to have a file-transforming machine, so that you can do it professionally, even more so, when the files are massive. So, for example, if your images are very large (e.g. 4 MB), you really want to make use of a file transforming tools, which is why you should be using GIMP (also for RAW image editor), or Photoshop for instance. You'll make that, you can do it. Conclusion: You can always use your own tools, and do what makes you happy, and I can imagine, that some people are, indeed, working that way with the images, and I am, too, but, you should be pretty sure, that everything is safe (I believe everything, but, let's find out, who knows, it's never real, right?). If, for example, the images are of a sensitive nature, then you won't be able to use any online.