I wouldn't have said tinkering with clocks is advantagous. I'm not sure much is trasferable.
If you don't have a mainspring winder, do not take the mainspring out if you plan to keep it. You'll find it next to impossible to get back in.
If the barrel looks in a good way, just drop some more oil in there, there will be a small gap against the barrel wall you can drop some friction greese into aswell. (e.g. mobious 8217) This isn't ideal. But it'll get the job done.
The one time i serviced a watch where the barrel was in a really bad way (preivious service had way over greased/oiled it and it was all black and gooey) I dipped the barrel and spring into bergeon one dip then layed it on tissue to suck out the crap. Did that a few times untill it was clean. Then oiled and greased as above.
I didn't like doing it, but it worked. Watch had good PR and keeps good time.
I do keep looking for 2nd hand mainspring winders but the cost is a little silly if your doing this as a hobby and only doing a few watches a year.
You can also change the spring, new springs come in a disc that you can just press down into the barrel. Then you don't have to worry about the winder and can get full access to the barrel for cleaning/lube etc.
Might help with sizing. (although, you will find many listed under a search of the caliber at places like cousinsuk, especially Swiss movements)
https://www.youtube.com/watch?v=CZfFkv0FLX4
Some watch repair lessons might be worth a go. There's a couple of online courses worth a look. The guy in the video above does some here.
https://www.watchrepairlessons.com/
There's also one based out of the US watch supplier Ofrei.com
https://www.timezonewatchschool.com/WatchSchool/
Got no experience of the first, but did the TZ watchschool.
It covers the basics. But you might want to go through it all first without doing the practical and then re-visit. As it covers disassembly first before oil-greesing points etc.
The first one looks a little more in depth using videos and is much newer.
The timezone watch school is a bit dated now using PDFs.