Where I am living I have survived so far with an old style TV that only picks up 3 stations

& no computer
Well almost no computer. I have an old laptop that I watch DVDs on but it takes forever to fire up & plays up all through the movie (maybe that's me).
Anyway I am contemplating buying a new flash laptop & get internet access that doesn't cost gazillions of $ (the internet access not the laptop).
So what do I buy?
I know you are all computer geeks so give me some useful advice.