OK SOL I dont know what you mean by base conditioning as I am new to training.
FACTS
I run twice a week, swim once at week, and cycle once a week (at least). I m making good fast progress considering I only been training under a year.
I have weak core.
I dont exercise in front of telly in fact I barely watch any telly. I dont know if you have a stereotype woman exercising in your mind, with mascara and lipstick on and singing when working out, but that's not me 
I like a training schedule (not if and when . garage, sitting room etc) and want to do it with some form of guidance that will push me and check my posture while Im doing it as we all know you can do the same exercise 1000 wrong you have jsut waisted your time.
So for the enth time my question is and apologies if I was not clear enough
:
1* Will Pilates alone address my core issue - PS I do not want my husband to be able to jump on my stomach while I tense
2* Will Pilates give me visible (but not bulk or 6 pack) upper body definition?
If the answet to this question is NO go to question 3
3* Will GYM exercise once a week give me definition? (wont be able to go more than once a week with all the rest going on)
And while we are at it...
If GYM once a week WILL give me definition can I get same or better core strenght by using GYM rathe than Pilates??
Phew
Thank you !
Edited: 12/10/2012 at 17:33