I have a very ancient wheel hoe with lots of attachments and I love it for lots of things. For example, it's great for making long rows in prepared ground or light weeding between rows. I doubt you would find it useful though for the purpose you indicated. Mulching over the grass might be an easier and more effective way of dealing with the grass, especially around the trees.
It is an ongoing process but gets easier over time. The mulch rots and as you replace it the
roots of any surviving grass and other
perennial weeds move up into the looser soil where they pull out easily. Then you can just drop them back on top to become part of the next layer of mulch.