Freesat is a Sky backed service where you pay a one off charge and free viewing thereafter.
Free-to-air describes the hundreds of channels you get free from satellite.
Don't bother with freesat just get a free-to-air receiver from Maplins for £40 and plug it into your dish (which will almost certainly be pointed at Astra 28E).
As soma_rich points out, you get TVs with sat receivers or even HD sar receivers built in so even easier – just plug the dish straight into the telly.
You'll get more channels and options than with freeview and often better picture quality.
If you want HD – get an HD free-to-air box for around £100.
Most of these boxes have a USB out that allows you to record onto an external HDD or you can buy boxes with the HDD built in which is more convenient but may cost £150-300 depending on what you want.