The compact / SK guns are great for a small carry package.
If you intend to get a second piece for home, I'd recommend a full-size P30. Full size is more controllable, and offers a higher round count. As someone largely new to guns, I'd suggest keeping things simple and having just a single style gun. DA/SA or striker - take your pick, but have both in that format.
I really like the P30. I'd stay away from DA/SA though, and get the LEM variants. A lot of the same advantages of a striker, and DA/SA combined.