I love to grow grass. . .Is that with watering? I'm a firm believer in testing the soil. There are inexpensive kits in hardware stores. Then you replace the nitrogen that's usually missing, adjust the pH, etc. If you can compost, it helps to create more soil. Most yards have depleted, washed out soil.
Too much water can also kill grass.
Is your dog female? Fixed? Can you train her to pee in other spots?
If you determine what grass you have, or want, you can buy seed for the bare spots. If you scatter it a couple weeks after fertilizing, and after mowing, wait two weeks to mow & you should have beautiful lush grass. Although, new seed requires short watering, several times a day at first.
For a whole new lawn ( which IMO you don't need) roto-tilling, raking, rolling, fertilizing, then seeding works well.
Check your climate zone before you use Bermuda grass, which will die over a cold winter.
Pennington brand has coated seeds, so birds don't eat them.
I'm envious. :wink2: