From the start you will have a wrench and the Electric Bolt Plasmid at your disposal. Using these is rapid succession against most Splicers can often result in an efficient, quick kill. First, shock the Splicer. Before the convulsion ends, switch out the wrench, aim high, and hit the Splicer over the head. The most efficient way of eliminating the agile Spider Splicers however is to unleash a few clips of anti-personnel ammo, preferably from the machine gun.
