The main "skill" used in syncing orbits is patience! Don't be in a hurry, or you'll find yourself flying past your target at a very high speed.
The first thing is to get the planes aligned - RInc should be no more than .03, less is better.
Assuming you start in a lower orbit (which is usually the case when you launch, then rendezvous) there are a few steps to take.
1. Wait until you are near the target's Apoapsis (use OrbitMFD, and if you have "non-spherical gravity sources" enabled, this will move around some - just eyeball for middle of the area the target Apo moves around in). At this point you will burn prograde. This will raise your Apoapsis, raise it until it is slightly higher than the target's Periapsis.
2. Set SyncMFD to use "Intersect 1" or "Intersect 2", and ensure you have an intersect (it will tell you if you don't). Also, you can use the Len button to have SyncMFD display more orbits, IIRC up to 8 orbits can be displayed.
3. If you are a long ways from the target, it can take several orbits, even a dozen or more, before a good close intersect comes up. Keep orbiting until the highlighted orbit starts moving up the list.
4. Tuning the rendezvous. ALL burns to lower the DTmin will be made at your Apoapsis, which is the rendezvous point. Two orbits before the rendezvous use a prograde burn to lower the DTmin. This will often change which orbit you rendezvous at, moving it to a later orbit. That's fine, and will result in a lower relative velocity when you do reach your target. Use translational RCS to "fine tune" this to very close to zero DTmin. Again, Non-Spherical Gravity will make the DTmin change a bit, but this rarely poses a real problem.
5. Last Orbit. When you are one full orbit from the rendezvous, fine tune the DTmin one last time - and don't try to re-tune it later. DTmin may increase as you go around, but will drop back down as you get close to rendezvous, so trying to "fix" it a half orbit from rendezvous will usually just make things worse!
6. Rendezvous. About 1/4 orbit before rendezvous, target the vessel's main transponder (not an individual docking port, IDS has a much shorter range) in DockMFD, and then hit the <HUD> button in DockMFD. Point your vessel at the negative RVel indicator (the plus sign in the circle) and keep an eye on the RVel and Distance. When the Distance gets low (less than 10k) OR the distance starts to increase, burn toward the negative RVel marker until RVel is zero (less than 1m/s is fine). Then point your vessel toward the target, pick a docking port (and set DockMFD to it - then hit the <HUD> button so the Docking Approach Lane is shown). Point the vessel about halfway out the lane and give a tiny nudge of forward thrust. Keep the RVel at 10 m/s or less, and use bursts of 10x time accel to speed things up - don't use thrust or the higher RVel will cause you problems. There should be a "plus sign" visible on the hud (the Relative Velocity indicator). Use linear translation RCS to keep this centered on the approach lane. Once you get near the lane, eliminate the RVel, point toward the dock, and move in.