The Lyrids are the first significant meteor shower after the Quadrantids in the New Year, being active from around April 14 until the end of the month. The maximum of these medium-speed meteors usually occurs between solar longitude 32.0 to 32.3 degrees, which this year equates to 11:00-18:25 UT on April 22. Their activity profile is attached.
Enhanced rates have occasionally been seen, but in general their peak Zenithal Hourly Rate is about 20 meteors, so on the nights of April 21/22 and 22/23 we can expect a ZHR no better than ~10 Lyrids per hour. In a suburban location a visual observer might achieve half of that rate. (My video cameras have only recorded a trickle of Lyrids this year).
Their radiant, near Vega, increases in elevation throughout the night. The Last Quarter Moon is grazing the horizon, so it shouldn’t interfere too much with observations.