I would take a lady's answer over mine any day, but in the meantime. . . I would not take anything to a first visit unless requested by the lady. I have a feeling that many would look suspiciously at even the most tightly sealed beverage container offered by a stranger.

As you mentioned, I will ask if I could bring something for us to enjoy together.  I often carry a gym bag or laptop bag; looks like I'm coming back from the gym or work. I normally bring just the bottle, but don't forget the cork screw!

I did so for my very first date and it was greatly appreciated, especially since it was white wine and I brought it chilled.  She said, "Nobody ever did that for me before."  I had checked her listing on P411 and it included the type of wine she prefers.  Most web sites have such info, too.  Bear in mind that I'm not a huge tipper (don't believe in it) and I don't buy the most expensive gifts ladies list on their wish lists.  But a decent wine can be had for $15, which ain't much to get things moving in the right direction.

Typically I would think that the host would provide the glasses. It's much like bringing a dessert or beverage to a dinner party or get together. One doesn't worry about bringing silverware, plates etc.

You could always place the beverage in a gift bag. It's inconspicuous and would also serve to present the drink as gift (of which it was intended, right?)

As far as wine, unless it's an outcall lesson with someone in which I'm comfortable (safety precaution), I'm partial to providing it myself. That way, it can be opened and poured into glasses well ahead of time. I can't enjoy a good wine without giving it proper time to breathe.

Now, they do sell the small instant aerators, although I have never used one and am not sure how well they work. I know that this may be a bit off topic, but if you are going to offer to bring wine to share, it's best that the wine can be well appreciated.

I hope this helps

beverage she requests.  Keep the bottle sealed until the lady arrives.  

For multi-hr. incall dates, I will usually bring a bottle of wine if I know the lady will share the beverage with me.  Otherwise, I will stay with water.

When a guy texts me if he should bring champagne or another drink. I usually say yes (even though I have my own stock) it's always nice to mix it up with what he brings. Any established lady will know to stock her apartment/incall with glasses so I wouldn't worry.

Usually not on a first date, but when booking a second date, I might ask if she enjoys wine, and if so, I'll offer to bring a bottle. If she is, always open and pour it in front of her- makes her more at ease and she won't think you're trying to Roofie her...

Although I no longer like to combine drinking and sex like when I was a young degenerate, I have one fave who told me she loosens up nicely with a few shots. Next time, I brought a selection of minis to her room with two shot glasses. They easily fit into the laptop bag I carry for condoms, lubes and sundries (but no laptop).