Would you consider finding another chair to rent and build up your experience and clientele, or do you have a decent sized clientele already?
What is it about owning a salon that appeals to you?
Are you a keen entrepreneur?
Generally speaking, to open a salon you’ll need a decent chunk of capital to cover the initial expenses for setting up and kitting it out and enough cash to run it for at least 6 months without taking a proper income. Running a successful salon requires an additional set of skills besides being a good hairdresser so you might want to start looking for basic business courses that teach you things like cash flow, marketing, (social media/web design), employing staff etc.
Lots of city councils offer free short courses so start by googling free business courses and your area and see what’s available.