I say go for it. You want to talk whole-heartedly with your spouse- I had to! But now HE has a nice big tattoo, also- one that I drew for him! I have tattoos, and IMO, if they are done by talented artists, they can be quite beautiful to look at- for almost everybody!
I don't think a Poodle tattoo is weird- you will have it for your whole life, so it should be something you feel something about- and after 10 years, I would say that if you STILL want the same image, there must be something meaningful to you in it.
If your work is done in a well known or popular salon, your health issues are minimal, but there's always those that have allergic reactions to certain color inks. But, the use of "dirty tattoo guns" is a pretty prehistoric worry anymore. I would say, visit a few salons, show them the pictures, get some quotes, look at the artists portfolios, and go from there; you can create a pretty good friendship with an artist that you feel comfortable with, and if you have inhibitions about the tattoo, good artists should talk with you about all of this so you understand. Then the last hurdle is just getting geared up for the sting of the tattoo itself- depending on what area of the body you get them applied, some people have more pain than others. If the image you want is of similar colors, you should be able to get it all done in one sitting. I bet you end up with a tattoo! Good luck, and have fun!
Human kindness has never weakened the stamina or softened the fiber of a free people. A nation does not have to be cruel to be tough.
Franklin D. Roosevelt