Welcome to HM, Tony. I think any metal lathe is better than no metal lathe, and all the brands you listed will do what you want it to do. What will differentiate them are the work envelope, the available accessories, cost and drive features (variable speed vs belts) and other factors. For transparency, I'm a Sherline owner with the typical biases so keep that in mind.
When I contemplated my first lathe I knew that I was primarily going to make general stuff for my hobbies and stuff around the house. Being a city dweller, that meant a mini-lathe would suffice to see if I liked the hobby enough to stay with it. At the time, Taig was just getting started and Sherline was the best game in town. Most of the Asian lathes weren't copied from Emco yet so my choices were simpler. I ended up with a well-tooled long bed Sherline lathe and have never regretted that decision. You will hear that you should go for the biggest lathe you can afford and I agree ... except if you are only working on small precision parts. In that specific case, go for a smaller precision lathe. In my book, that would be a Sherline or Taig in the USA.
Between the Taig and Sherline, the key differences are the available accessories and the drives. Sherline lathes come with a very reliable variable speed DC motor, while Taig typically uses an AC motor or one of your choice that you must provide. The capacity of the long bed Sherline is greater than the Taig. I haven't owned a Taig so cannot attest to its accuracy but lots of nice work are done on those things so join one of the Taig groups and ask about it. The Sherline is VERY accurate and will do almost anything within its work envelope, and maybe beyond it. As for accessories, Sherline produces the largest choice of US made tooling for their machines and their stuff is very good quality; Taig is okay but nowhere near what Sherline offers.
As for the Asian lathes, Little Machine Shop carries almost anything you could possibly want, including the lathes. Look them over, ask about them here and you'll have many informed opinions. Nowadays, few others produce lathes at prices we can afford so you almost have to consider them. Don't forget that the Asian lathes are copies of the early Emco lathes made in Austria; you may find one in good shape on Craigslist in your area.
One other thing to look at is how many mods you have to do to the machine for it to perform well for you. The Asian lathes will usually require some tune up to function well or correct design flaws. Before buying, look around to see what has been done for the lathe you're considering. Sherline lathes will typically run well out of the box. I don't know about Taig.
This is not an easy decision, I know. The very best advice I can offer is to ask, ask, ask until you are very clear on what you need and what you can afford before you buy.
