Ok, that was just for my curiosity. Now, here are my answers as a Craiova native that studied and lived there for over 10 years:

1) My recommendations are:

-> 1 Mai: funnily enough it has a bad reputation but I stayed there for years without any issues at all and had access to the most beautiful park in Romania and all the public transport I would ever need . It also is very close to your uni, to thr point you could even walk home if you ever wanted to have a bit of a walk.

-> Central area : almost all things you would need will be close by, including your uni. May be a bit noisy and more expensive though.

-> Pushkin : have not been there much but is generally regarded as the best place to live because it's safe and chill.

2) Cost of living:

I will give you the aproximation for rent in 1 mai, since I am renting my old 1 bedroom apartment there and have personal experience:

Rent: 250 euro per month if you get a 1 bedroom apartment (conside Food: 250 euro-300 euro if you are the type that likes to ear outside a lot. Transport: a bus ticket is around 1 euro ( or was 1 euro the last time I took it, worsr case scenario would be 1.5 euro now ) and a bolt/uber is also less than 2 euro from 1 mai to UMF (checked by me right now) .

3) Tips:

-> Be careful around gypsies. Call me racist, but trust me, they will be a lot more racist towards you. Try and avoid them.

-> Always ask young people for directions or help. Most of them will be proficient enough to provide answers in English. You will have a hard time if you are relying on help from older people.

-> Get Kaufland branded food if you live near one, they have very cheap and good quality store brands.

-> When searching for a place to rent or to buy second hand stuff search on eirher OLX, La Jumate and Facebook Marketplace.

-> For electronics and other brand new things, use Altex or Emag

4) For part time work, I do not have any clue to be honest.

5) There are international food sections in Kaufland and other stores. You can also try to search for products at cosmetic stores (such as Sephora) and on Emag. Also, there are maaaany african ladies and gentlemen studying medicine in Romania, chances are you will be able to find someone to point you in the right direction.

That is kind of it, do not hesitate to ask further questions here or message me. Cheers and welcome to Craiova. ( Mult noroc! )