You're about to get a lot of replies suggesting you stay away from Alibaba machinery. The import costs will be much higher than you expect. Also don't forget to put a price on service and availability of spare parts. Something
will be broken on any machine you buy. You
will break something yourself in the first year or two. How will these issues be resolved? Finally, many overseas machines have metric threads and gears. That might not be an issue for the rest of the world, but I would go nuts trying to use a metric lathe.
You failed to mention the size of lathe you need for the work. small gears and fittings might be fine on a 10" lathe, but you'll be changing gears. A 12-14" lathe will have better gearbox options and will be much more rigid in a cut but will weigh and cost more. If you are doing larger work, or want to take heavier cuts, then you need a bigger lathe.
I'm worried about your budget...
$1600 gets you a small hobby lathe (bit bigger than a toy) with no tooling.
$2500 gets you a medium sized quality lathe with basic tooling
$4000 gets you a nice 12" lathe (first chance at a totally enclosed gearbox)
$6000 gets you a nice 14" lathe (Totally enclosed gearbox)
If you haven't collected measuring instruments, cutting tools and accessories yet, expect to double your purchase price - especially on the smaller machines. You'll need some basic quality measuring instruments, probably a quick change tool post (some higher end lathes will come with one), and some cutting tools and holders (including drill chucks and centers).
Do you have a maximum size and weight restriction?
If you are sticking to $1600, check out the entry level lathes from Grizzly.com. That are decent machines at import prices. They stock spare parts for decades and have great service. If you are willing to flex on the budget, then next recommendation you will get is Precision Matthews. There are a ton of happy owners of their machines on here and the service and quality is top notch.
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