ConTerminus Logo Update

I would like to update ConTerminus logo as the current logo was designed and created by myself using Canva and appears a little dated. i am building websites for my two companies and want to ensure the branding and visual appearance matches my high-quality service by trusted senior professional USP targeting likeminded professionals and business owners. The logo used has meaning as does the name ConTerminus, which is a play on Latin words and means boundary of the site. The logo is emulating a C but by the gold smaller square in a larger square to indicate the boundaries between the two. This is because much of my professional advice was confined to boundary and party wall matters. However, ConTerminus changing its focus towards more services all with a legal surveying focus that all continue with the high-quality service by professionals USP. The different types of services include:
ConTerminus provides Property & Project Professional Services to commercial Clients, with a clear focus on Quality and Legal Compliance across the Property & Construction Sectors by providing the following services:

• ConTerminus – Construction Project Services
• ConTerminus – Fire Safety Services
• ConTerminus – Survey & Reporting Services
• ConTerminus – Dilapidations Services
• ConTerminus – Landlord & Tenant Support Services
• ConTerminus – Party Wall & Boundaries Services

What sets ConTerminus apart is the experience and professional expertise that underpin every commission. Each instruction is fully managed by a Commission Director to ensure consistency, accuracy, and a high standard of service. Our pragmatic and personable approach ensures that we listen carefully to the Client’s needs so that the service is tailored to their expectations. This approach enables ConTerminus to maintain strong Client satisfaction, supporting repeat instructions and referrals.

Where appropriate, we offer lump sum stage fees to provide cost certainty and ensure that the Client pays only for the services they require.

I require creative suggestions to approve which draft designs should be adjusted into the final logo image. I am thinking of achieving a cleaner, sharper geometric logo and consider a more modern but high quality professional typeface (i.e. similar to solicitor or legal firm), and a tidier diamond/symbol.
I will require the logo in the following formats:

Proper vector formats (SVG, EPS, AI) as well as PNG, PDF, JPG
Variation on the logo should include four versions: complete with logo and strapline, without logo, without strapline, and Word only.
A version that works on dark + light backgrounds. Provide with different backgrounds for each version including white, black and transparent.
Provide Favicon versions of the logo only and complete logo without strapline for use in website.

The colour palette for my existing logo and corporate theme is as follows:-
o Blue: #034694
o Gold: #DBA111

My separate company CtQ Chartered Surveyors focuses on providing high quality party wall surveying services to home owners in London. I also include logos for this which were professionally produced a few years ago. I do not need to change these but would welcome these logos being provided in additional Proper vector formats (SVG, EPS, AI) for all four versions and also provide a favicon image for the CtQ on its own and the House image on its own. The colour palette for CtQ is the same as ConTerminus but also with CtQ Red: #ED1C24. I will supply more formats of both logos as this post is limited to only three attachments.