I need help perfecting my falls. To me this is the most important part of the white belt and the foundation of everything to come so any tips will be tremendously helpful.
Well, you're right that break falls are very important… without them, it's not really possible to develop the skills in the rest of the art, especially in terms of throwing.
However… the only answer that can really be given here is to talk to your instructor. Different systems will have different methodologies involved, with different ideals and concepts as to how things should be done "correctly"… the way break falling is done in Aikido, or Judo, are very different to the way they are done in my systems, for instance. It doesn't mean either is right, or wrong, but if you are doing a Judo-style ukemi then I'll point out why it's not done that way with us… beyond that, there can be personal preferences from one instructor to another… another branch of the systems I train in have certain beliefs/ideas when it comes to break falls that, honestly, I don't agree with. And again, neither are "right" or "wrong"… just different approaches with their own reasons.
You've given your art as "Jujitsu white belt"… without a particular system, that could be almost anything, really. As a result, any advice given, no matter how well meaning or seemingly logical, will need to be run past your instructor to check whether or not it works with the approach your system/school has. K-man's advice, for instance, on the surface is good… but it's not really accurate or appropriate necessarily to anything other than the forms of break falling he does… there are a range of things that I'd change for our schools, for instance. And that's not a failing of his advice, just an illustration that the only person who can actually answer in a way that's useful for you is your instructor.