In times of low interest, house prices inflate because the payments are lower and the compounding effect is slower. This leads to bigger mortgages with long durations. During times of high inflation house prices go down because less people can afford it. Paradoxically you will end up paying far more money than you will save through the lower interest rate. Therefore it's best to buy your house when interest rates are high.

As usual, if you wait too long then you will miss out on potential gains. Starting as soon as possible tends to be more important than the specific time you start investing.