[NEED ADVICE] Leaving a job to relocate for personal reasons after only 3 months?

I’ve gotten myself into an extremely awkward situation and I wanted to know what the smart people of Fluther think.

So, after a breakup with my gf in the last quarter of 2017, I moved to my current city and have been here for 7–8 months. After getting physical distance from her, we re-connected via text messages and Facetime and it turned into a LDR with visits in between. We’ve found ourselves missing each other and wanting to give the relationship another shot. I know how that sounds. However, I have also decided that I don’t want to continue living in this city even if it wasn’t about giving the relationship another shot. I’ve come to realize that this city just isn’t a good fit for me and I don’t really have a future here. I feel like the city I was in before was a better fit (even without the relationship, so if it were to fail again, I’d be in the city I like).

Unfortunately, I didn’t finally, fully realize this until about a month after starting a new job here. I’ve now been working here for three months and I want to give 4 weeks notice to relocate to the city I was in before (where my partner is). The job itself is good experience for my field. However, the company is very small (I prefer bigger companies), and I feel that the culture is a mismatch with my personal values. They have been having problems with firing/laying off employees with short notice, so turnover seems high. However, they’ve recently had a change of management and are trying to show that the company cares about its employees. All of this makes me feel worse about wanting to leave. Not to mention, this month is their year-end so it is busy (I plan to leave at the end of the month, which will be after the busy-ness). I don’t think working remotely is feasible because it is a small company and a lot of the work requires paperwork. Taxes/cost of living situation between this state and the one I want to move to would make staying very financially disadvantageous for me. As for my work history, I’ve only been out of school for just over 4 years so it’s pretty short. I stayed at my first job for 2.5 years and had a one-year contract. I did have one FTE job that I left after eight months because it was a bad situation and was making me miserable. Otherwise it’s just this new job. So, my questions:

1) How do I sell this relocation thing to my current workplace and to potential employers? It’s not technically for family or anything, which I know sounds a bit better. Can I just say it’s for “personal reasons” and not give any further details?

2) I know it’d be ideal to stay at least a year, but I can’t see myself wasting another year here for the sake of work.

3) How do I deal with my current employer? Should I tell them ASAP that I want to leave? I’m afraid they’ll just fire me and the bridge will be burned. How do I do this gracefully? My end date is set so the longer I delay it, the less “notice” I’ll have to give them.

Please help.

TLDR; I relocated to new city after a breakup with my gf. After careful considering, I’d decided I’m moving back to work things out and also because the old city is a better fit for me, however I’ve started a new job and it’s only been 3 months. I plan to give 4 weeks notice to relocate back to old city. How do I tell them? This will be so awkward.