Square Logo Design For Social Media

I need a designer to look at creating a bespoke logo design for a client of mine. The logo will be square and appear on things like avatars for social media and other marketing materials. The client is a law firm in the start up space, so we're looking for something likely to attract tech start ups - clean, modern etc.

The only real remit is that it has a "C" and "L" in it.

Website is: crestlegal.com and I've attached some ideas (but these would obviously need updating) You can take the main brand colours from the website.