22 years ago I started building a house off the grid, on 15 acres of raw land in the Northern (very snowy) US. There was no power, not even a road in. I had about 5000 bf. of 1x6 t&g pine, and lots of other salvaged wood, and not much of a budget. As I had been working with tools since i was a little kid, I had a decent selection of power tools. I traded them all for hand tools. I started building with hand tools only. This bothered a neighbor who had moved from California, so he gave me a generator. I bought more power tools, and used them. Eventually I got a solar/ battery system, and a nice propane fired generator which could run a table saw. The day that 'real' power came in (8 or 9 years in)was momentous.. the first time I flipped the 'on' switch on the table saw, the way the motor started told me that this was a good day... Hand tools are great, indespensible. Power tools too. You can do the job either way, power, or hand. You can end up at the same place. There is something satisfying in using only hand tools, beautiful, romantic ( maybe in some sick, masochistic way) Using a quality power tool and doing quality work is just as satisfying, at least to me.
You can get by just fine with just one plane, that Lie- Nielsen low angle block plane could be the one... or another... ( could even be a carefully chosen thrift store score and a little TLC ) a really nice hand made Japanese chisel ( you will totally like that too), a nice combination square ( that might be my most used tool, if it disappeared, I can guarantee it would be replaced within days!) a decent set of dial calipers. Start with a nice bandsaw, not just a craftsman 14", but a decent one... Power tools are your friends too!