I watch my photos for dust marks during post processing from time to time.
When the dust level goes over my personal acceptance border of having to spot the dust in post processing before print or web, I wind up, blowing the sensor with a blower bulb.
After the blower bulb treatment, I check the sensor at small apertures and move on to wet cleaning, if needed.
I use Eclipse E2 sensor cleaning solution, visible dust plastic spatulas and pec pads for sensor cleaning.
I take much care, to blow the pec pads with clean air several times, after fixing them on the spatula, to not transfer fresh dust on the sensor.
The packed solutions from visible dust (or any other reputable sensor cleaning kit manufacturer) are great, but highly overpriced and their marketing is loaded with FUD.
The FUD marketing from these sensor cleaning vendors, added by prohibitive remarks from camera service and repair men + misinformed sales personnel + the multiplication factor of the internet has resulted in many, otherwise perfectly healthy adult persons being very scared of sensor cleaning.
It really is not much different from changing the engine oil in your car or cleaning your apartments windows by yourself. Just do it the right way and don't listen to the wrong people. Of course, not using Coke instead of engine oil or a brick, to enhance the clear view out of your apartment helps, as does common sense with sensor cleaning.
The other greatly exaggerated and heavily discussed photographic gear topic, that has been in existence way before digital sensors were around and persists still to this day is:
lens cleaning … ;-)