How do I conect a dvd recorder that has an hdmi output socket to my hd ready TV which has hdmi socket both are sony machines thank you

HDMI out from the DVD player to HDMI in on the TV... you'll need an HDMI cable.

If you also want to record, it'll depend on your type of service and the type of DVD recorder. You'll need to post what kind of television service you have and whether you have a cable box.