Martels Hammer said:
I will follow your advice.
The primary driver here is I use a reel mower for the front and the bumps and drips in a few areas look bad and in a few spots make the mower difficult to use.
If you are mowing with a reel mower - definitely don't need to scalp. I can understand the guys on here advocating for scalping/low mowing in a yard mowed at 2"-3", but you are plenty low already.
Also, since you are already mowing low, the need to add material in smaller amounts is even more important.
Add material, let it grow through, repeat until you get the desired results.
Seeing as you are using a reel mower, I would lean towards sand or the finest soil you can get with good, screened compost.