Trap is a single and doubles game - but commonly shot at singles from 16 yard line. The birds are moving away from you at roughly 45 degrees off the center of the house. You shoot the birds as they are still rising for the most success. In general, there is less relative barrel movement left and right than either skeet or sporting clays.
skeet is a game of singles and doubles - but the relative angle of barrel movement left and right is significantly greater than Trap. On some stations you shoot a pair - as an example, one target moving left to right /then you kill the 2nd target moving right to left - and on those stations, the barrel movement and follow thru required - and probably the lead required is significantly more than for a typical Trap target. On stations where you shoot singles in the middle of the field - the books will tell you it will take close to a 4 foot lead to break those targets - much more than you will usually need on a Trap target.
Sporting clays is a mix - each station on a course is very different. Sometimes singles, sometimes following pairs, sometimes report pairs and sometimes true pairs - and a mix of everything. Skeet and Trap are good training grounds for sporting clays - but sporting clays is a little more like hunting. Birds may come off the ground, rise high and fall, left to right, right to left, etc - they may come inbound toward you - they may go outbound and from behind you and a mix.
Get out and try all 3 games - they use similar targets ( not all the same size, or color for that matter ) but they are flying clay discs ........and it is fun.