You are asking how do other artists design their business card, but an artist’s business card is part of his marketing strategy, therefore it is unique.
You have to think about how you intend to use the card. Also, when you distribute your card, how will those folks use your card?
Regarding pictures on cards, whenever you create a new line of jewelry, the photos of your older work do not quite represent your newer work. You might need to buy new cards frequently, just to refresh the pictures.
You mentioned collecting photo cards for inspiration. Do you want other artists to keep your card for inspiration?
You asked what do clients prefer. You need to determine who (in general terms) is your market. In other words, what do most of your customers have in common, what are they like and what do they like? There is no point in trying to satisfy anyone other than the people who want to buy your work. The bottom line of all the reasons most folks share their business cards is to help them earn money.
Regarding home addresses, in the USA, addresses and phone numbers on documents that are available to the public will always be on the internet. Public information is out of control in terms of not protecting our privacy. The best we can hope for is to generate enough high quality search engine entries about ourselves and our work so that our personal information will be pushed to page 92 on a name search.
In terms of security, if your personal information is readily available on the net, then criminals can find it, so does it really matter if it’s on your card or not? On the other hand, if you do not want clients showing up on your doorstep or calling you, then leave that information off the card.
You asked about business card size, quality and colors. The answer lies in “who is your market?”. What do they expect? What paper quality do they like? Do certain fonts and colors have meaning to them? It’s a lot of research on your part, and you might try to extract some of these answers in casual conversation with your repeat customers.