I've been nervous all ways up with new women (can't come/too soon) and nowadays I just tell them when I arrive that it takes me a while to get used to someone for the first time and that generally changes the tone of the meeting for the better. Very few escorts are looking for punters to be sexual athletes (and after all, this is what they do professionally - they'll have seen loads of blokes better at it than me or you) and just want a relaxed hour where you go away happy. Talking about what you'd like from them is the way forward.
This ^
How long do you normally book for? If you are a single shot guy then shorter bookings to begin with a new sp will work as you can gauge if you want to see her again and the quick fire issue is less of an issue
However if you can go twice then I would suggest booking longer say an hour or 90 mins minimum and get a quick one in early, then there is time to relax, have a chat, a massage, a cuddle, some mutual fondling etc and build up to a longer round 2.
I'd avoid alcohol and if you arrived to a booking with me I wouldn't join you in a drink as I don't ever drink alcohol with Clients, that's just me though so others may differ.
Excitement and anticipation is good though its what this is about