I've been meaning to do a startup for over a year now, and have spent that time observing the world around me and figuring out what I think are genuine problems that I think I can solve. I finally quit my job a little while ago to pursue these, but am now stuck in a predicament I cannot seem to find my way out of - I seem to have too many possible ideas and no logical way to choose among them! They all seem like that have potential, but they are all quite different from each other so I cannot work on all of them at the same time. I know it's hard to really give specific advice on this, but I'd love to hear from entrepreneurs who might have gone through something like this before. Should I try to do an analysis based on some framework, or just follow my gut on this? Or is there a better way?
The best companies arise organically - and aren't forced.
Startups are a deeply personal affair and are really tough. You should first be able to answer why you want to start a company. It can be materialistic reasons or for romantic purposes - but you should first know yourself (decently well) and why you're getting into this before you start anything.
Startups are incredibly high risk - and you've taken a leap of faith by quitting your job. Every first step requires a little leap of faith, so good on you for that. I took a similar leap in leaving school for a year to start my own company.
Like most things in life, there is no specific "get rich quick framework". There is, however, a logical approach that can be applied, which first starts by collecting your own data points through domain expertise.
I'd be happy to sit down, listen, talk these things out with you, and give my own personal examples. I started out with a logical approach, first collecting data of my own by working in various restaurants for many years before shaping the model/vision of our company.