Welcome, Nicole.  There are many of us here who value things "made the way they used to" and a vintage Electrolux is a joy to own and use!   Vintage attachments can be found on ebay at usually quite reasonable prices.  Finding a vintage hose (at least one that doesn't leak like a seive) is virtually impossible, but newer replacement hoses (albeit vinyl) are easy to find on ebay and elsewhere as well.  Trimming back the cord past the place where the wires are shorting is an easy fix and preserves a bit more of the authenticity but a modest replacement plug would suffice too. 

Electrolux is one of my all time favorites and I have several vintage ones, although not nearly as many as some long time collectors here.  The LX is a magnificent piece of mid-century design but using it is only for the physically fit! 

You might find someone willing to adopt your LX but then again you could clean it up a bit, give it a polish job and place it somewhere in your home for it to be admired as a work of art.  (and a great conversation piece!)