Is it a cheap place to live
What kind of entertainment and shopping services does it have?
A nice town centre. A few (but only a few) bars. A supermarket. A Macdonalds. A few small restaurants.
Is there a hospital there?
A small one. Everything you need. Just don't expect them to speak English in a place that size.
how easy is it to get medical care as an EU citizen?
If you are living working in Poland as opposed to just being on holiday it is compulsory to pay ZUS. This covers healthcare.
a new school called Linguo,they seem a good place
Never heard of it, and in a place like £omźa it will be a small one. I would be careful. Have you checked them out on Dacve's or any of the blacklists?
You could clear up on private lessons in a town like that - provided you handle it right...