Good thinking... I did that back when I bought my house, I also in advance of the move started slimming down what I owned so had less to move.
In the U.S., at least at the time I did it, doing that with anything over 20% down on the cost of the house (which I did even more than that) allows you far more options and generally nets you a much lower rate and payment than otherwise. No dealing with forced merged property taxes, or escrow accounts, or any other shenanigans. No dealing with Freddy or Fanny Mae requirements, or HUD and their requirements, just a straight raw mortgage with a bank with separate insurance and separate taxes. With combined mortgage and utilities, I pay less per month than some renters...
Currently I'm in the process of getting a HELOC... want for a couple improvement projects and for future emergencies... doing so now to take advantage of both the low rates and my high credit score.