If your first-home plan is real and you still have FHSA room, that room usually deserves priority. The annual contribution cap is smaller than what the RRSP can absorb, but the first-home tax treatment is usually stronger.
After that, the RRSP can still earn its place if the deduction is meaningful and you either need more down-payment support or want to keep retirement contributions moving too.
If the home question is only one part of the bigger account decision, compare this page against the TFSA vs RRSP guide before you decide where every long-term contribution should go.
If both accounts are competing with long-term investing, test the alternative against the dividend calculator and the dividend-income guide so the home decision does not happen in a vacuum.