New house, lawn overrun with weeds. Need advice

So got a new place yay. But just started looking at the lawn and got myself a lawnmower and trimmer. I'm new to the concept of owning a lawn. Always lived in apartments.

Figured I start with the weeds but damn, did a small patch and damn those roots are thick and deep. Only had a gardening fork to help with the process.

Anyone can give some ideas how I can start? Feels like a losing battle. Should I put it up on airtasker for initial help and then hopefully the maintenance is better?

My lawn looks the worst on the street, I want to fix that. Neighbours are like working on their garden/lawn almost everyday, not sure if I can compete with their time...