Gardening on a slope can be tricky.
Lovely ideas on what is ‘low maintenance’ and various planting schemes pop up….
My experience is that although these sound great, the reality after a couple of years is anything that replaces the lawn will eventually require more work to keep it maintained. Weeding by hand on a slope covered in gravel/ soil/ wood chippings with groundcover plants is a thankless and endless chore.
So what to do…
At the moment, the lawn dominates the garden, and as it’s in poor condition it draws the eye. If the garden is South facing? the end of your garden is possibly in shade?
I would focus on this to start, and create a level shady seating area interspersed with a couple of dwarf trees that have year round interest (such as crab apple) or standard-trained larger shrubs such as Photinia red Robin. If you don’t want them planted in the ground, use a couple of large decorative feature planters. These will take the focus off the lawn and give an interesting vista from the main patio. You could pave some of it, interspersed with smaller areas of pea gravel with low growing heurcharas or other easy care plants in a variety of colours. This will also help drainage.
After this, focus on the lawn. Take your time and over a couple of years replace the current coarse grass with grass seed mixtures that are more suitable and attractive to improve the look of the lawn.
In the meantime plant up the area on the other side of the steps (After tending it for a couple of years, you will know from the maintenance if you want to extend planting to the main area and eventually replace the lawn).
If you have a patio top and bottom, it will be much easier to mow from each end of the slope using a lightweight hover mower or you could try a robomower.
Grass gets a bit of a bad press at the moment, but when I look out at my garden - where are all the starlings and blackbirds hunting for food for their chicks? On my lawn! Grass also helps to moderate the ground temperature of the garden in hotter summers.
If you try this strategy first, it is minimal cost and there is nothing that can’t be changed easily if it doesn’t suit you after a few years when you’ve had chance to assess.