Ron,
I could go on all day on what's going on in this photo, so many interesting little things...
This was the tool collection of a single carpenter, now it's in a museum. He has a few more than most, because he was a top notch carpenter...
Most of the short-bed planes are profile planes, with different profiles for different uses and looks. Then there are grooving planes, rabbet planes, and the smoothing planes.
Check out those giant 2-way planes on the back wall...
But back to your topic,
I definitely concur with the opinion that you should have a few different planes. Your choices sound reasonable, I say go for it!