Find some rest, catch some Z's, drop off, doze off, nap, drift into sleep, hit the hay, sleep, slumber, snooze, take a nap, get some shut-eye, retire for the night, rest, repose, be asleep, grab some sleep, catch some zzz's, take forty winks, have a siesta, etc. These are some common synonyms for the phrase "get some shuteye". Each synonym is used in a different context and situation. You can use any of them according to the situation and environment. So, choose wisely!