Old apple graft over

The argument I guess I have is what I did w/ this pear tree thats right next to this apple.

I did leave a big limb on it that I’m going to cut out this year. Perhaps do that with this apple? Cut off the main branches I want to graft and leave the other branches for this year then once the grafts are established next spring (2019) take those old remaining branches out…

Thoughts?