Year of construction 1900
Wow!
I can't say anything about the renovation costs.
I generally find it sympathetic when someone is not afraid to move in first, not wanting to have everything immediately in their desired design and then gradually implement what can be done later by themselves. But you also have to be the type for that. Not everyone can and wants to do that. In the end, the house becomes a hobby over years/decades and never really finished. With a year of construction 1900 and problems in the basement, I would be cautious. Then: where the electrical system needs to be redone, the water pipes will probably not be new either. Etc.
But some notes:
Keep in mind that
- with the second child the income will probably decrease.
- car costs must also include the new savings rate, since eventually you have to replace the old one.
- purchase incidental costs are not financed, so they must be paid from liquid assets.
- at the age of the heating system, you should definitely keep the budget now so that a replacement is possible. A common mistake is to finance too little and then have no cash left to pay for necessities.
That means you should borrow more to avoid getting into a financing backlog. There would still be some buffer upward if the salaries remain the same.
I would also advise either to negotiate the house price down at least by the demolition costs or,
Plan B, to reserve the free plot.