Customisation of menu toggle

Hi, had some success in styling the menu bar to fit my design, I am however a little stumped when it comes to any changes to the menu toggle.

At the moment is crushes down just as it should by default and works just fine. I would however like it to do the following:

- Logo to be added to the left (which links to the homepage) I don't want to have to add a 'home' link to the navigation bar.
- Lose the word 'menu' but just keep the toggle icon.
- Right justify this icon, so there is a clean bar with logo on left and icon on right.
- Once the toggle is clicked, the current dropdown functionality is already perfect for what I need.

Hope this is all the detail that's needed, appreciate your help.

Thank you