If, for whatever reason you cant rip out your lawn, there are still some things you can do to minimise the damage:
If you’re cutting it, leave the Edges, particularly near walls and fences, as habitat for insects.
Alternatively, only rip out the edges and replace with native flowers or a hedge - though you’ll have to do maintainence.
Scare off wildlife before you work on any landscaping - making some noise and rustling/rummaging around where you’ll be working gives critters a chance to find a new safe hiding spot.
Designate a small area to leave the hell alone - inspect for invasives, and clean up, but otherwise, just allow it to be, and dont let humans too close.
LOG PILE! A pile of sticks, leaves and trimmings is a wonderful habitat, especially during winters.
Seasonal mowing/weeding - Decide based on when you use your lawn, but some ecologists recommend mowing in late spring (assuming you’re northern hemisphere / using the lawn in summer) which allows bees time to establish themselves in the early year.
Encourage clover and other ground plants - this depends on your area but clover can be established with seed and is encouraged with shade. These plants are much friendlier to bees and retain moisture much better than grass.
Be kind to your soil! If you have any beds, make sure to feed them.
Understand how rain and weather are effecting your garden - figure out which direction water runs, and whether you need extra drainage or retainage.