Is buying a house at all possible with our income?

How long has your partner been self-employed? What percentage part-time is it? How much student loan do you still have to repay? Is a car purchase coming up soon? Or are you well positioned for the next few years? Is the 300k all-in? Additional acquisition costs (land register, notary)? Outdoor facilities? Garage/carport available? Kitchen? Are salary increases planned or certain? Where do you live, and how high are the childcare costs for you? Grandparents willing to help? Possibly financial support from the family as well? Could you get the additional acquisition costs from the family? Do you also have 13th salaries? So some buffer? I find it quite tight. Especially with a child and probably no longer two full-time salaries. That's why all these questions, to be able to better assess it.

Where is the house being offered for 300000? Unfortunately, your profile shows that you do not want to build... And is it being built or is it built? What is included in the 300000? And how much loan is still outstanding after 30 years?

Purely in terms of income, this amount is already okay and it certainly is not the end of the line yet. The crux of the matter is definitely the low to non-existent equity. Are at least the ancillary acquisition costs covered? I would definitely think twice about a terraced house in the middle row. It is a rather unpopular form of housing and its value development is worse than terraced end houses or semi-detached houses. The advantages and disadvantages should be known.

Above all, where can you find a new building for 300k or is that just a bait offer from a developer?

Thank you all!
I’m trying to address all questions:
House:

[*]In addition to the 300k, there are €20,000 acquisition ancillary costs.
[*]These would be covered by our equity.
[*]The house is 140 sqm in size.
[*]Someone asked if this might be a bait offer. I guess the house is priced this way because it is a mid-terrace house and the plot is very small. The house also has no basement.
[*]Otherwise, there is a carport. The house is rural, in a "good" area, within walking distance to the train station with a direct connection to the next larger university city (6 min) and to a big city (about 40 min).

Income/personal situation:

[*]My boyfriend’s part-time employment share: 24h/week.
[*]A car purchase is not planned. We are still paying off an almost new car for 3 more years (€300 per month), and we also have an old small car.
[*]Our parents could only financially support us in emergencies, and even then not indefinitely.
[*]We have not yet thought about the care situation of a hypothetical child. That is a very good point. The parents live in the big city nearby, so that is rather unlikely.
[*]Unfortunately, we don’t have a 13th salary. In our current jobs, no significant salary jumps are expected (small company). With an employer change, the salary—especially my boyfriend’s—would certainly develop very positively. But that is not planned in the short term.

I consider our income and savings to be too low. And I’m annoyed for not having dealt with these topics earlier and for not having taken out a home savings contract at an earlier point in time. It is definitely not wrong to take one out now, but I somehow feel the "train has already left." My partner is already 33, and a house should also be paid off before retirement.

I am amazed at how much equity many already young people have. I have also heard that you should bring 20% equity when buying a house. At a price of 300,000, that is 60,000€, which seems almost unattainable for a young person who maybe only studied for 5 or 6 years and only starts working properly at 25.

Honestly, I find it rather questionable without equity. You are tying yourselves to the thing - that can put enormous pressure on the relationship when money gets that tight. Maybe you should try seriously saving for a few years first.