As a non-first time dog owner you need to contact the SG cantonal Veterinäramt with your proof of ownership for a decision on whether or not you can be excused from the SKN Theory
course. The decision is made on individual cases, we have seen experienced folks told they must take the course, and we have seen experienced folks excused.
You will likely have to take the SKN Practical
course, depending on the ages of your dogs. Technically it applies to all dogs acquired after 1 Sept 2008; however there is a variance of practice in how that applies to people who move to Switzerland after that date with dogs they acquired before that date. Most such newcomers I have spoken to have who have tried to get out of the practical classes have been told to take them, I think I can only remember two cases where someone has been excused, and those were with very elderly dogs. You will find that so much in Switzerland boils down to how the individual official interprets the regs in an individual case.
Again, contact the SG cantonal Veterinäramt for a ruling on your specific circumstances.
But that said...
And y'all know what I'm going to say here, dontcha...
Whether you are excused or not, it really would be foolish for a newcomer to Switzerland not to take the courses. The course are short, 2 sessions for the theory and 4-5 for the practical. The courses are very inexpensive, under CHF 200 each. There is no test, simple attendence is all that is required. The courses are indeed very basic, you will already know most of the 'dog' material... but you won't know the 'Switzerland' material. And it's the 'Switzerland' material that is so very, very important.
Really, the courses are so easy for an experienced dog owner, and I have found them lots of fun, so I always wonder what all the fuss is about, why so many newbies baulk at a tailor-made chance to make inroads into their new home's society.
I am fortunate that I have a great trainer; I have taken the practical course three times now, as it has to be done with each and every dog acquired after the enforcement date.
This is the easiest possible way to learn all you need to know about how Switzerland views dog ownership, what Swiss society expects of you as a dog owner, what the laws are - which might indeed be very different from what is expected of you at home.
If you want to start off on the right foot here in Switzerland, I strongly suggest taking the classes.
And then go on to further training or sports. There are so many possibilities...
Again, all the best as you settle in.
In your other post you mentioned wanting to offer dog care - again another reason to take the SKN courses, as you need to have these in order to care for dogs in return for payment.
And I do hope you start a dog care business - there is so much need, especially in your area.