If your hands shake, soldering individual SMD's will be a problem. Experiment with various hand positions to find one that works better. Rest your wrist on the table, hold your breath, etc. There are lots of techniques to improve steadiness.
That video makes some good points. I usually use the spot of solder to get one pin or end attached to the board. I have a couple of pieces of small diameter music wire (ca. 0.030" to 0.045") that I have tapered and smoothed the ends of. I use them for positioning and pushing things around. With the dot of solder method, you can use one to hold the component in place so it does not get bumped off the pad when you touch it with the iron. A dot of paste flux can also help keep the part in position.
Another aid is cyanoacrylic glue ("CA" or "superglue"). Something about medium viscosity works well. I usually use some old thin stuff that has thickened with age. I put a drop on bare copper PCB board -- anything will work that doesn't set off the polymerization reaction. Use one of the aforementioned pieces of wire to dip in that puddle and then make a micro dot on your PCB. Add the component. You will have a few seconds to move it around to the right position. Once the CA sets, then soldering is easier. Of course, avoid getting the CA where you want to solder, but if that happens, you can solder through it. CA will vaporize at solder temperature. I would use the CA method only if I could not get decent results with one the methods mentioned previously.
John