Hello rsm, and welcome. Generally, concealed carry will go to the strong side with a IWB holster. This is usually best achieved with a smaller framed pistol.
However, size, clothing, (especially in winter) , can change that. Full size pistols can be cross drawn, with the right rig, usually shoulder style, but the wardrobe, (jacket, sweater, coat), all will apply.
Depends on a few critical factors. Type of clothing, size of firearm, movement and flexibility... For example, in S. Fl. I can Carry my full size 1911, or M+P 40, if I want in shorts and a T-Shirt, but if I sit "funny", I can print, or otherwise reveal a large bulge on my hip, or small of the back. So, I carry a smaller framed pistol for my clothing, on my strong side, with a spare mag, or Bianchi speed strip, in my weak side pocket.
The trick is to experiment. Usually, a local gunshop, will accomodate your unloaded firearm, to "try" different styles, types and rigs for CCW, and can offer good advice.
Perhaps you can follow up with a description of size, caliber, model of what you intend to carry. Many have posted on "pocket pistols" and/or small frame handguns. Or full size that have other options as well.
I'm a lefty, and carry a few different pistols. Usually, IWB, with spare mags/speed strips, on the right side.
Thanks for posting, glad your here, more follow up posts will provide good advice as well. Please let us know a few more details that might assist in narrowing down some other options.
tw