To be honest, I don't find that SO tight at all, provided the numbers add up. If you subtract your equity, you have a loan amount of about 400k, you are young and by the time you start repaying, child 1 will definitely be just about to start or already in kindergarten and your wife can work part-time.
3,200 + 1,300 + 200 = 4,700 euros.
From that, you can repay 400k, even within a reasonable time (30 years would be perfectly fine).