From my experience of tuning my own piano I can give some pieces of advice on the way.
First of all: Please decide whether this is acceptable tuning:https://drive.google.com/open?id=1cjwTByM5sq7F7OcR5MYpt-DMiFYHjtMV
It's an 1886 Steinway B and while it plays well, it does have some problems where really clean tuning is impossible. In the treble section there is this annoying b due to a crack in the bridge, but this will be finally fixed by thorough application of epoxy on that one pin. Some notes in the treble do not sound out of tune, but they do not sound 'clean'. Nothing I can do about it other than replacing the strings (40 years old), filing the capo, replacing the agraffes. Not gonna happen.
The recording is the result of tuning the whole piano, i.e. not touching up single notes, but that's how I started.
* Spend some money on a really decent tuning lever that fits your piano. Best bet: Ask your regular tuner what he uses for your piano and then buy exactly the same model. It's known to work, thus worth the money. Don't go cheap.
* Use felt wedges to dampen strings, not rubber
* Press the sostenuto pedal before putting in the felt wedges
* And the important part: Listen to a single string and try to catch its overtones by ear. There are dominant ones and some are less so. Those are the ones to determine your tuning quality in terms of sound. As soon as you tune a second string in a unison, listen to the overtones and their oscillations. Minimize them, get a feeling for compromise.
* Stability of tuning is important, but since you touch up yourself and don't need to wait for a date with your tuner, touching up can be done on a regular basis and give you a learning experience.
* Pound the piano, i.e. give it a real fortissimo when you think you've found the sweet spot.
I can tell you, it's real fun to tune your own piano and it will give you tons of insights into the quality of sound of your own piano. Won't take long until you look into regulation and voicing.