The problem with using the bookmark bar is that it can easily get full and start to overflow.
However, most modern browsers allow you organise it with folders. I’m showing this on Firefox but I have also tried it on Microsoft Edge and Chrome and the procedure is similar.
In Firefox find a bit of space on the bookmarks bar, and right click then choose New Folder. Using Chrome it is Add Folder and Edge it is Create New Folder.
Give it an appropriate name.
Then it is simple a matter of transferring your links into the folder. Drag and Drop works well. Now you are tidy