Hi & welcome to the site! Congrats on your new home! Are you able to add some pics of the property?
What was your goal when you bought it? What did the lawn service tell you?
It's not your responsibility to continue what the previous owner was doing. If somebody else wanted the property, or had strong feelings about what should be done with it, they should have bought it. Gardeners chop down their own plants occasionally, it's not that big of a deal. Tastes change, trees can get ill, get bigger than expected, living things don't last forever.
You could try to give away some of the excess baby plants if you want to, or chip them up for mulch.
Once the baby plants are gone, trees and shrubs shouldn't need much maintenance unless they were put where they don't have room to grow. If that is what has happened, it would be best to thin the herd.
