While the word could be rendered in any combination of the following cases. 'gotGrub', 'GotGrub', 'GOTGRUB', 'gotgrub '
I think i prefer 'gotgrub' in lower case or possibly 'GotGrub' interested in seeing designs that are with and without a logo mark, i like the cleanness of logos like facebook's etc simple and stylish. **I do not like the logo mark as the letters gg**
Logo needs to smart and fun but not overly cartoony. Red seems to be a trend in design for restaurants but is not a hard and fast requirement, here are the competitor sites in the market.
The site/business is mainly about ordering food online via mobile devices, so that is the main focus of the logo so logo marks could potentially focus on the concepts of delivery, mobile or food.
P.S. It would also be handy if the logo could be suitable for use as a white silhouette on a black background if needed.