n. 25B6; verb
she tried to push him away : SHOVE, thrust, propel; send, drive, force, prod, poke, nudge, elbow, shoulder; sweep, bundle, hustle, manhandle.
she pushed her way into the flat : FORCE, shove, thrust, squeeze, jostle, elbow, shoulder, bundle, hustle; work, inch.
he pushed the panic button : PRESS, depress, bear down on, hold down, squeeze; operate, activate.
don't push her to join in : URGE, press, pressure, pressurize, force, impel, coerce, nag; prevail on, browbeat into; informal lean on, twist someone's arm, bulldoze.
they push their own products : ADVERTISE, publicize, promote, bang the drum for; sell, market, merchandise; informal plug, hype (up), puff, flog; N. Amer. informal ballyhoo.
pull.
25B6; noun
I felt a push in the back : SHOVE, thrust, nudge, ram, bump, jolt, butt, prod, poke.
the enemy's eastward push : ADVANCE, drive, thrust, charge, attack, assault, onslaught, onrush, offensive, sortie, sally, incursion.
25A0; at a push (Brit. informal) IF NECESSARY, if need be, if needs must, if all else fails, in an emergency.
25A0; push someone around BULLY, domineer, ride roughshod over, trample on, bulldoze, browbeat, tyrannize, intimidate, threaten, victimize, pick on; informal lean on, boss about/around.
25A0; push for DEMAND, call for, request, press for, campaign for, lobby for, speak up for; urge, promote, advocate, champion, espouse.
25A0; push off (informal) GO AWAY, depart, leave, get out; go, get moving, be off (with you), shoo; informal skedaddle, split, scram, run along, beat it, get lost, shove off, buzz off, clear off, on your bike; Brit. informal get stuffed, sling your hook, hop it, bog off, naff off; N. Amer. informal bug off, take a powder, take a hike; Austral./NZ informal rack off, nick off; poetic/literary begone.
25A0; push on PRESS ON, continue one's journey, carry on, advance, proceed, go on, progress, make headway, forge ahead.