I believe most professional SEO experts don't use a single software to understand the market. In most cases there are a variety of tools involved. One such tool that I've come across is https://ahrefs.com
but there may be more, including proprietary software not available publicly.
We have at least one award-winning SEO expert-member (@bigredseo). If he notices this thread and decides to chime in, that'd likely be the best advice you'd get.