www.wysiwygwebbuilder.com

I'm new to this software so I'm playing around with various things. I do have a website to redo and I'm looking at various ways around things so please forgive me.
In a responsive Web site not using breakpoints what would be the best way to make a companies name responsive so it changes dependant on device screen size. Hope I've made that clear.
Thanks.

Put it into a layout grid

Responsive and breakpoints are not mutually exclusive, you can use both. You can use the breakpoints to adjust the width of the layout grid columns, adjust the size of text in different sizes, etc. As you are learning add just a few breakpoints to experiment with; maybe 480, 600, 800.

For example you may use a two column layout grid for a header with the logo and menu. You would start with the logo column width smaller since you need more room for the menu. But at the point the menu goes to a hamburger you may make the logo column wider so the logo is not too small on smaller devices.

This tutorial may be helpful:
https://wysiwygwebbuilder.com/layout_modes.html