Regarding mulching, one thing that help me is before putting down the mulch, pull all the weed/grass around the trunk so you see the bare soil. Then cut a big circle of landscape/weed blocker fabric, lay it down but cut a hole in the middle for the tree trunk. Once the fabric is down, then put your much on. The fabric will stop the weed. Some grass runner do get on the mulch eventually but because of the fabric, the grass runner do not have a chance to set deep root so I can pull the runner in one strand and discard them, making it easier to maintain the mulch under the tree.