I would not be too impressed with being picked up from you Hotel, it's rare to hear of an Agent that will not do that, think it's par for the course. I was in beauty parlour when a couple expressed an interest in buying property. The owner had brochures out immediately, and within 15 minutes was arranging to send a car to pick the couple up at their hotel that afternoon!!
We probably did everything wrong. Went over for one week, picked one agency, went out the second day, (picked up and taken) spent the day viewing. Bought a property that day and then went back to our accommodation for dinner and sat looking at each other as if we had been given an anesthetic. However, we were lucky and everything went smoothly and we made the right decision and don't regret it. We love our place in Calis.
If we had our time again and had found the Forum with all the good advice early, we would have done things differently, to make sure we were safe. We would even have got a solicitor.