I carried an Ultra CDP for a few years.
I carried it in a Bianchi Minimalist holster. I would often run my belt around the outside of the holster to keep it extra snug to my body. I'm 6' tall, 180#.... so I'm fairly slender and don't wear baggy clothes, so I had to keep it from profiling too much. Worked great and carried nicely.
As to follow up training.... lots of dry fire drills.... a 1911 is a great carry gun so long as you are very proficient with it.