Meteors from the Lyrid shower will streak across the sky (in any direction) from a point known as the radiant (see above), which is in the constellation of Lyra - hence the name of the meteor shower. The number of meteors will peak on the evening of the 21st April, when we can expect to see around 20-40 meteors per hour. This is a significant increase on the usual 5 or 6 per hour we can expect on a typical night.
As this meteor shower coincides with the dark nights of a new moon, the conditions (weather permitting) should be ideal for Lyrid spotting. You don't even need a telescope or binoculars - just warm clothing, a hot drink and a comfy chair. The best plan would be to look just to the left of the constellation of Lyra, which can be found high above the Eastern horizon (and a little bit North) around 10pm (21st April) to 2am (22nd April). Be aware that the meteors will only last a fraction of a second, so you have to concentrate.... blink and you'll miss them.