Suspension forks come in both the traditional quill stem and A head (thread less versions).
The A head set types tend to be found on mountain bikes, or on bikes that are subject to more of force, racers, BMX's .etc., whilst the quill stems are used for less demanding bikes.
Your LBS should be able to order a pair in for you, just show them the bike, I'm biased in favour of this option as I own one.
Alternatively if you can measure the diameter of the forks you can get them from the net to match your existing headset, there's different diameter steerer tubes.
If you are replacing like for like.
The cups on the frame should be reusable, the cone on the forks will have to be removed and replaced on the new forks. You'll see it at the bottom of the steerer tube, it look like a fat washer with a round grove cut into it that takes the bearing. At some point underneath it there is normally a slight cut out for lever or wedge to be inserted, you need to prize or tap it up about 1/2" before it comes free, then tap it carefully down onto the new forks.
If you decide to change the fork type you will need a new headset that should come complete with all you need except grease. Rather than cutting A headsets steerer's down, use spacers to pack the stem up. The stem should end about a quarter of an inch below the top of the stem, on A heads, to allow for tightening down as the cap has a small collar that recesses into the stem.
I'm going the other way, binning my suspension forks for a set of solid.
The problem I have had is in finding a set of cromolly forks in 26", so I'll be running 26" rear and 700c front wheels, should be interesting, mind you I've had the forks for a month or so and not got round to it yet.