Log cutting and splitting isn't a leisurely sunday afternoon job - It's soddin hard work.
If that is all you are going to saw up now and in the future then get a electric chainsaw from Aldi or Lidl and buy a few chains -I have a Lidl one and a few chains - chains were £9.99 - Just keep the chain oil tank full and don't force it - with a sharp blade it will almost take itself though a trunk.
I have a sledge hammer -logging maul and a granade and the best one is a electric splitter- been worth it's weight in gold.
That should keep you going till New Years day