A private partnership would require you to keep track of your basis unless the partnership does it for you. if they do they would likely include a schedule with each year's k-1.
my advice however is to keep the k-1's until disposed of. you never know when you may need to refer back.
For publicly traded partnerships I would keep them but them or save copies as pdfs. when sold the PTP will provide a sales schedule that shows you your tax basis and possibly ordinary section 751 gain on disposal. using that schedule you'll be able to properly compute the capital gain/loss portion on sale. do not use the broker's statement because they do not track basis.
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