Company rebrand

We are a specialist non slip flooring company working in 3 different areas of the leisure industry, namely, play, golf and swimming. Our current company name is specific to one of the 3 areas we work in and we require a more generic name. The flooring we install is manufactured from rubber and we would like the branding to be based around this. We would like an umbrella brand with sub brands for each area.
In turn this will lead to a rebranding and web site up date and redesign.