1994 Toyota Corolla battery charge

I have a dead alternator and want to charge the battery, so that i can get my car to the garage. i have a portable car battery charger that willstart the car. if i want to charge the battery should i hook it up to the car battery and not start the engine? since the alternator is shot does it make any sense to start the car?
Will i get a better charge from another car and if so will i be better off with the other car running or just battery to battery connect and neither car running.

please help i am not terribly savvy with this subject.

Thanks.