The size is the decision, and it cannot be undone
Every other conversion on this site starts with a fixed number of pixels. This one does not: an SVG describes shapes mathematically and can be drawn at any size with no loss at all. Once it is a PNG, that freedom is gone, and enlarging the PNG afterwards produces exactly the blurry result that scaling any raster image produces.
So pick the size you actually need, and then go larger. If the image appears at 200 pixels wide on a page, export at 400 for high-density screens. If it is going into a presentation, a document or anything that might be projected or printed, go larger still - the cost is a few kilobytes, and the alternative is discovering it is too small at the point where re-exporting is inconvenient.
Fonts are where SVG conversion goes wrong
An SVG that references a font by name does not contain that font. It contains an instruction to use it, which works on a machine that has it installed and silently falls back to something else on a machine that does not. Rasterise on the wrong machine and you get your logo set in a default serif, subtly and unmistakably not what it should be.
The fix belongs upstream, in whatever produced the SVG: convert text to outlines before exporting, and the letterforms become shapes that need no font to draw. If the artwork is already an SVG and the text looks wrong here, that is what happened, and no converter can guess which font was intended.
External references do not travel
An SVG can reference images, stylesheets and fonts hosted elsewhere. When it is rasterised in a sandboxed context those references generally do not load, so a graphic that looks complete in a design tool can come out with a missing panel or unstyled shapes - and nothing announces the omission.
A self-contained SVG avoids all of it: everything embedded, text outlined, no external URLs. That is also the version you want for anything you are handing to someone else, because it is the only version guaranteed to look the same wherever it is opened.