Interesting question for sure Beth!
Here's my 2 cents: It sounds like you're contemplating trading one job for another - from a nurse to a handyman in some capacity. This is the route I originally went with my real estate investing, only to find out years later it wasn't going to get me where I wanted to go.
Real estate is a great investment vehicle IF you approach it correctly. If you approach it as a job or as self-employment, you've basically just created another job for yourself. There's nothing wrong with that, but just see it for what it is - a self-created job. And to some degree, you're still trading time for money, which is what we want to get away from.
Here's two books I'd highly suggest reading if you haven't already. Michael Gerber's E-Myth and Robert Kiyosaki's Cash Flow Quadrants. These two books combined could have saved me many years of grinding away in my business - years that were never going to get me where I wanted to go.
To answer your question, the skills set that help me the most is:
Learning to work in harmony with others and creating win/win arrangements. This could also be classified as a communication skill, as well as emotional intelligence.
Learning how to acquire the correct mindset to build and grow a business (goal-setting and strategizing).
Learning sales and promotion. Everything is sales. And you can't make a sale if nobody knows about it - promotion/marketing.
Learning how to be resourceful. Most of what heavy-hitter investors do is assemble the resources to bring a well-thought-out plan to fruition (think Donald Trump). As Tony Robbins says, "Resourcefulness is the ultimate resource." I've learned not to ask people questions for things that can be found out with a simple google search or by watching a 2 minute youtube video. We learn to find the answers we need when we need them, and if we can't find them or they are complicated (like legal issues) we consult with professionals.
Anyway, hope something I said here helps!