Hi there,
Are you looking to put only the 2 of you on the BC? If so, in Manitoba, it has been legal for many years for you to put your name and your partners name on the statement of live birth as soon as a child is born. Although, as FtMPapa has stated, many lawyers were suggesting you still do the second parent adoption in case you are worried that anyone will challenge your parental status (say, if you think your KD would want to be officially recognized on the BC one day). The 2nd parent adoption has your KD officially wave his parental rights. It does, of course, cost way too much money to do all this, but these are the options.
See
here for what happened in Ontario - this has been the case in Manitoba for quite some time.
GL!