Staying in an expensive hotel does not guarantee that there are no bed bugs in the hotel mattresses. It is hard to check on these bed bugs because these are nocturnal insects and would come out only at night time.
The bed bug bites create red spots more like mosquito bites. However, you would know that the bites are from bed bugs because it form a line, unlike with mosquito bites where in red spots are seen randomly on the body.
If upon waking up, you see yourself covered with red spots that are itchy better change hotel room. Check the mattress and head boards before agreeing to transfer. Sometimes these bed bugs travel with you back home; you would not want your bed with Sferra linens to be infested.