I can't recommend a particular make as I've never replaced the battery on my 2011 MacBook Pro 17" and it's still functioning well after all these years. (Makes you wonder why so many owners of new or far more recent models of MacBooks are so concerned about their batteries on showing no more than 90%).
If I were to order from Amazon I'd choose one which comes with a warranty and free customer service advise.
Regarding the latest possible OS for your MacBook from Apple it's 10.13.6. There's a 3rd party patch available that will allow you to run OS Catalina, but I personally prefer to stick with High Sierra.
You state your MacBook Pro 17" is "noisy". Is it fan noise or more like a clicking sound?
i) If the former your Macbook is probably running hotter than normal due to dust build-up in the fans and exit guides. Easy enough to clean out.
ii) If it's a clicking noise it's likely that your original hard drive is starting to fail. The best improvement one can give to these marvellous 17" Macbooks is to install an SSD with a fresh install of High Sierra 10.13.6. It's what I did and it transformed the performance! No way would I exchange it for a difficult/very expensive to repair more modern MacBook.