Finished secondary education and don't know if I should move out or not

I'm 19M from Slovakia and just finished my secondary education and am going to university to study mechanical engineering. I don't really want to go but I know I should.
I have 2 options:

1. Live at home with my parents who I love very much and am close with, however I will have to commute 2x90 min every day to school to Bratislava which is 35km away, which sucks. I would also probably spend the vast majority of the day there (I really hope not).

2. Go to study in Brno which is a 2h drive away from home, the uni is apparently slightly better and better funded (The one in Bratislava hasn't been renovated in 50 years you can tell). It would in Czech which I kinda know, and would have to pickup on somewhat. I would also most likely live with my girlfriend in an apartment somewhere.

My girlfriend (19F) of 3 years is a professional athlete and got an offer from a club in Brno and she wants to go there as the university she's going to is much better there than the one here and I encourage her to go.

Now as I mentioned if I went, my girlfriend would get 400 eur per month from the club, my parents would help me out with max 500 eur per month, which I feel extremely bad for taking from them and wasn't expecting that they can give me that much, and my girlfriend's parents are quite well off so they would contribute more (I assume). So yeah we could probably live in a cheap apartment together. And my parents say I won't have time to get a job during my first year of uni.

At first I was quite excited but as days go by I'm kind of sad and scared, and I don't know why. I also don't want to be a burden on my parents. They say that they will support me if I want to go, but the reality is if my girlfriend stayed I would stay too. I'm not that keen on uni to be honest. I want to freelance and start a business, I know what I want to do in life and being an engineer at some company is the last resort. I don't even know if mechanical engineering will be enjoyable. Maths was my favourite subject in school, and I chose mechanical engineering due to that and that you've got options once you finish.

I feel really bad that I would take the money from my parents and they even think I should take a loan which is another reason to not go. I just want to play it smart but I also don't want to undermine my relationship with my girlfriend who I love very much.

Thank you for reading all the way through it means the world to me.