The first step is to stop using synthetic fertilizers and pesticides ASAP!!! They are awful for your family and pets.
I am in Long Island and I have been using this landscaper that uses only organic lawn care services. You definitely need to follow the plan year-round to see results, but I am telling you it is worth it.
It can be a little expansive if you want to have everything done professionally, but there are many things you can do yourself.
Here is his website in case you want to check his process. Unfortunately, I do not think he serves the Connecticut area.
https://sites.google.com/kevinlandscaping.com/kevinlandscaping/services-details#h.rxmxyycjl7z2
Good luck!