Making progress towards a lush lawn

Are you a good gardener? I would call myself more of an aspiring gardener. 

I moved into a new house in November, and it is the first time that I've had an actual yard in my adult life, after years of apartment living.

Since it was already quite cold out when I moved, it was hard to tell what the lawn might be like in warmer weather. Now that spring is here, I can see that the yard is mostly weeds!