Pull Nails With a Nipper
If you're replacing windows, doors or flooring and you want to salvage the trim, end-nipper pliers are a handy tool to pull out brads and finish nails. The rounded end provides plenty of leverage, and if the nail breaks, you can always cut it down flush. Don't squeeze too hard when gripping the nail or you may nip it off prematurely.
Drive Dust Outside With a Fan
A fan blowing out the window helps to keep dust levels down, and it creates a slight vacuum in the work area. That way, any gaps in your dust barrier will let air flow into the work zone, but dust-laden air can't sneak into surrounding rooms. This works so well, in fact, that you may not even need a dust barrier for light-dust projects. Just be sure to close large gaps around the fan with cardboard or plastic so wind gusts don't blow the dust right back inside. For good airflow, you may have to crack open a door or window on the opposite side of the room.
Cut the Jamb and Pull
You can knock a jamb sideways out of its opening, but the nails or screws holding it in place put up strong resistance to the shear force you apply.
An easier way is to cut one of the sides in half with a reciprocating saw and then pull the rest straight away from the framing. You can easily pull away any nails or screws holding the doorjambs in place simply by using the leverage of the jamb itself. Make your cut at an angle so the two cut sections don't wedge against each other, preventing you from pulling them apart. This same technique works for pulling out windows.