Scheduling my moving crew is a nightmare with all these last-minute apartment relos

I've been running a small moving outfit for about 3 years now, and scheduling the guys around all these short-notice apartment moves is straight up killing me. Out here in the Dallas-Fort Worth area, everyone's trying to beat the lease renewals, so jobs pile up on Fridays and we end up double-booking trucks left and right. Last week I had two crews overlapping on a U-Haul handoff, and one guy almost missed picking up a piano from a third-floor walk-up. I'm using Route4Me for routing, but it doesn't account for the random traffic jams or when a client adds on packing services at the last second. Saw a similar rant in the Moving Professionals Facebook group, and a bunch of folks recommended Connecteam for better crew communication. Anyone got tips on handling this without burning out the team? TBH, I'm about ready to hire an office person just for this crap.