Yes, all the rooms have shower gel & shampoo in the shower. There is also liquid soap available at the bathroom.

It will cost more by getting the hotel to book a taxi than by ordering your own or even using the taxis available from the airport. Google Prague airport taxis and I'm sure you'll get the best prices and also be able to compare, and also book your return pick-up at the same time, it saves any hassle. That's what we did and it worked a treat, also note that it's crazy busy at 1600 to 1700hrs.

There are lots of local restaurants and bars very close to the hotel. Lovely food and a lot cheaper than in the old Town. We are not vegans but we had an amazing vegan meal in a restaurant called 'Pastva'. This is just across the river next to the Staropramen Brewery. I would suggest booking this restaurant. I would recommend walking along the river into the old town, about 25 mins. Lovely views and you will pass the 'dancing house'. Within ten mins walk of the hotel is the fortress and park of Vysehrad and the botanical gardens. Also, between the hotel and the Old Town you can visit a church and memorial to Operation Anthropoid from WW2. This is a free museum and very moving. I would suggest watching the film of the same name before you go. Have a lovely holiday.