I have stayed in many Premier Inns and never been asked for ID
You give your Credit Card details and fill in a short form. That's all. When you depart, they just check that you used no "extras" and you walk away.
Premier Inns are usually very good comfort and value.
They will want to see the card you used to book the room.
Room key cards are supposed to be handed into reception when you go out. You can access the hotel 24 hours a day and there should be a manned reception. It isn't a B&B or hostel, you can come and go as you wish.
Your credit card will be enough ID. They will take payment when you arrive. You can take your key with you when you go out.
There is not always somebody in reception. You can drop your key in a box when you check out.
I stay there often. No ID is required and you can take your room key with you. The reception is often not manned all night, if the porter has other jobs to do.. My son stayed at the Leicester PI last week and said it was great.
I have never been asked for ID