Hi,
How flat is your battery? You really need to check the voltage with a multimeter, If you do not have one, get one, a "cheap and cheerful" will do as long as it is just used for DC volts.
So, check the battery voltage, if it is less than about 7 volts, then no modern trickle charger will charge it up, even if you leave it charging for a month of Sundays. It needs a voltage of about 7 volts to kickstart the charging, and if it does not see the voltage, it will just do nowt.
You have 2 options, get ( beg, borrow ) an old fashioned 4-6 amp charger, these simple chargers will charge up a battery from flat.
Otherwise piggback another good battery in parallel, positive to positive--- negative to negative and this will provide the 7 volts necessary to get your battery charging, using a modern trickle charger. Even a motorcycle battery will do for this.
Another option of course depending on the age of your current battery is just to buy another battery.
Charging battery off the car in these circumstancesis a far safer option, just keeping it topped up is fine on the car.
Losing the radio code etc, are small minor problems easily fixed.
Steve
ADD .... Looks like my post was beaten by yours, take out of it what you will.
Old charger is good ! No new battery needed. Get yourself a multimeter.