On a side note, it appears there is only one type of chain that will fit my Farm Boss and it is an anti-kickback chain. Both Stihl and Oregon list all of their non anti-kickback blades for that saw as no longer available. It is 0.325 pitch, 0.063 gauge with 81 links. But I know nothing about the various chain types. Maybe you can get different chains by going with a different bar and/or sprocket???
If it's 81 links in a .325" pitch chain, then it would seem you have a 20" bar. If you actually do have a Stihl MS 271, that's a 50cc saw. Others will argue, but in my opinion a 20" bar is too much for that saw. Stihl does say you can run one that long on that saw, and you might get away with it in softwood like pine, especially if you keep a VERY sharp chain and are not burying the saw in 20" of wood. Their recommended bar length for that saw is 16" - wich is exactly what I would be using on that saw.
Both Oregon and Stihl make good chains for use with this saw. I prefer full chisel chains, which give a bit better cutting performance than the "semi" or "micro" chisel (semi chisel chains do tend to last a bit longer when cutting in dirty conditions.) In full chisel, I would suggest using Oregon 22LPX chain (81 links for a 20" bar, that would be
22LPX081G) or Stihl 26RS (81 links would be
26RS81). (Part number links take you to Bailey's. You may be able to find better prices or free shipping from other sources)
If your need to cut larger wood is only occasional, and you want to minimize the weight you need to carry. I'd consider a 60cc pro level saw. Pro saws tend to weigh less and and have a bit more power than the same sized "landowner" or "homeowner" saws. For me, this is a sweet spot in the power vs weight tradeoff (I'm cutting hardwoods in VT, and I don't often have to deal with much more than 24" trees. I might want more power if I were regularly cutting larger trees.) Unfortunately, pro saws also come with a pro-level price. On a 60cc pro saw, you should be able to comfortably run a 20" bar. You could also go longer, but there is nothing wrong with just cutting the logs from more than one side to get through them. Good candidates are the Husqvarna 555 or 562XP or the Stihl MS 362. You might also consider the Echo 620P (or sacrifice a little power and get the significantly lower-price CS-590 Timberwolf). These are heavier than their Stihl or Husqvarna counterparts, but they are still well-made saws. On any of these saws, you probably want to be running a 3/8" pitch chain.
I would only go to a 70cc saw if you don't mind the extra weight and are cutting a lot of larger wood.