I want to propose to you something symbolic and simple at the same time. The symbol is made from lower case of 'e' in rounded shape to convey the message of wholeness, infinity and focus. The moving arches mean new ideas. Hope this make sense to you.
3 moving arches as a letter "E" for EGAN in upward direction to emphasis the idea of "new ideas" , also could be "to a new future" The 3 arches (E) ensembles with the shape of "C" for CONCEPT as unity.
Thanks for the update. We really like the logo and would like to see other fonts for comparison please! Also if you would use other color combinations that you think would suit the design, that would be great.