Extend or Amend

I was planning on using my refund to buy a new car since my old one has about had it. The problem is I'm missing paperwork (a K-1) and I'm pretty sure I won't have it before May. I know I can file an extension, but I'd prefer to file with what I have now and amend the return later so I can get the cash ASAP. But that perjury statement above the 1040 signature line is holding me back since if I file now my return clearly won't list all the sources of income I received during the tax year. What should I do?