Welcome!
Virginia is a great name and a great-looking bunny! My guess depending on her size and fur type would be either a Mini Lion Lop (here’s another example that looks similar to Virginia) or, as Sarita suggested, a Fuzzy Lop for her breed. The Mini Lions are a little sleeker and the Fuzzy Lops have fur more like wool. Of course, she is also likely a mix between one of those breeds and something else. C:
I second what everyone else has already said, especially about the smoking, grass, and lead. Rabbits’ lungs and noses are very sensitive, so if you keep the smoking in another room with a window wide open and purchase an air purifier for the room the rabbit lives in, you should be okay.
As for the lead, it’s true that some rabbits are okay with being walked on a lead, but it’s always, no matter what, an extraordinary risk; I would say, too much of a risk. If something startles your bunny — and it can be something you didn’t even see or weren’t expecting — they can bolt, and if they’re attached to a lead they can easily snap their spines (it’s for this reason that it is also very important to learn how to properly pick up a rabbit. What you should do is take lots of cute pictures of your bunny and show them around. I’m sure that will get the attention of a few ladies, haha.
Once again, I second the notion that you probably shouldn’t feed her grass and things from the park, simply because of the high likelihood of dangerous pesticides, parasites, and other factors. It would be much safer to simply buy store-bought Timothy hay (or alfalfa hay, if she’s under 7 months old), and feed her the lettuce — check this list for good greens to feed her, the most popular are red and green leaf lettuce, romaine, butter lettuce, cilantro, parsley… just remember NO iceberg lettuce! — you plan on growing, or from the store before you start to do that.
Also, do you know if she’s spayed? Or, have you considered it? Although it can be pricey, it will ensure she has a long and happy life by greatly reducing the risk of cancer, and it will make her much more mellow and less aggressive if that ever becomes a problem. Also also, have you considered getting her injections for myxomatosis? If you’re in France, there’s a risk of her contracting that — and believe me, it’s the last thing you want to happen. Either way, you’ll definitely want to find un vétérinaire qui sait beaucoup sur les lapins.
Growing your own greens in a window box is an excellent idea!!! It will save you lots of time and money. I say go for it!
Welcome again to the forum!