10,000lbs is probably enough especially if you always carry a snatch block.
1.5 × vehicle weight fully loaded is the general rule. Do the math for your setup including all gear and passengers.
Stay away from cheap no name winches.
Your winch is a tool that has to work when nothing else will. Invest in quality equipment you can trust to work when you need it to.
I did alot of research before purchasing mine. Went with a ComeUp Seal gen2.
Great warranty and solid reputation of reliability.
ComeUp basic wire rope models can be had under $600
Another great option that can be found in the under $500 range is Super Winch.
If you can't find a 10k in your price range I would buy a 9.5k or 8k from a quality manufacturer before I'd waste money on a cheap no name, no warranty winch. Just make sure you always have at least one snatch block and use it.
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