Howdy!
Here are some tips to help the game go better...
YMMV!
Deligate!
Hordes- use coasters or movement trays(WFB) with 1 representative figure for each 10's digit and a d10 for the ones digit.
Initiative- have everyone broken up into groups...the ones that go before the bad guys and the ones that go after the bad guys. This speeds things up as you dont have to wait for the slow thinking players with high initative to go.
Critical Hits- have the apothecary have the charts out.
Cohesion- Have the team leader keep track.
Any others...