I just had a kid and bought myself an Accord V6 luxo, not bad but not my first choice (was also looking at a maxima). Boot is large enough for the pram.
Would have also looked at wagons but wife hates wagons and likes her hondas (thanks to the old civic). Besides, I got my GTR so I don't argue if she wants the honda
I would also consider the Legnum, Liberty/Forester wagon (by STI is good...seen them cheap, but of course your budget is not that high).
Assuming your budget is $15k I think you might want to look local, and the kid will wreck your interior, trust me...Falcon wagon is good, otherwise you could go for Mazda 6 wagon or Magna wagons if you want it cheap (they're actually good cars although bland as bat shit).
If you can live with a sedan instead (as I have) then that would increase your options.
Otherwise maybe a soccermum SUV but then of course forget about power