Yeah it might not be that hard to fix yourself. I know that dryers are a lot less complicated, but when ours broke down this year, I just bought the parts and serviced it myself and I am quite incompetent with tools.
There are lots of videos online about this sort of stuff I would think for washers too, especially if you already know the parts that need fixing. Those parts select videos are pretty well done for non-handy people to do the work themselves. For older, well made stuff, always better to fix than replace.
On a side note, I had a dryer giving me problems in my rental condo about 5 years ago where the thermostat and other parts kept failing. The repairman came by about 10 times to keep replacing the thermostats and other parts and trying to see why the problem was happening. He charged me for the first replaced thermostat and never charged me again because he was so curious to see what was causing the problem. He took that thing apart so many times. He lost so much money on me and I kept offering to pay him and he said that he makes so much money off other people's stupid problems that he liked having a real problem to diagnose and didn't care about the money. Turned out in the end it was a blocked duct not in my unit, but just past the walls of my condo, because the building did not clean their ducts due to a change in property management.