Tailor Brands Logo Maker is free to try, but you’ll have to subscribe for access to the high-resolution logo files. If you 'sort of' like it, you can start to customise details such as the text, typeface and colours etc, with the simple in-browser tools, making all the tweaks you want until you’re happy. The designs proffered can be icon-based, initial-based or name-based. If you like one of them as it is, you can download it straight away as an SVG or EPS file.
It only takes a minute or two and once you’re done, the tool uses some clever AI to conjure up a selection of potential logo designs based on your choices. It's the best logo designer software for non-designers, and that's because it basically does all of the designing for you. You type in the wording you want in your logo, then you're presented with a series of binary font options, and asked which you like better (you can say if you dislike both).
If you have no design skills at all, your best option is Tailor Brands Logo Maker.