It may be difficult to get through to the council on the phone (the electoral services people will be busy running the polls so the phone will be answered, if at all, by someone from a completely different council department who doesn't have a clue - that happened to me this week) and a lot of council websites don't list polling stations, they just tell you to check your polling card, which you don't have.
So if the phone or web options don't work, I suggest asking your neighbours where the polling station is. It is 99% likely that yours will be the same as anyone else on your road, and in the 1% of cases where it isn't, if you went to that polling station they could tell you where yours was.
You don't need any ID or polling card. The postal vote thing might be a problem, but you'll only know if you turn up at the polling station and find out if you're listed.
You walk in. There may be tellers outside the door who are volunteers for various political parties (and who should be reported if they're passing themselves off as neutral officials), they might ask for your name, polling card, or how you voted. You don't have to tell them anything.
When you get inside, there will be tables organised by what road you live on. The officials in there will point you to yours if you can't immediately see it. You give your name, they give you a piece of paper with all the candidates listed on it.
You take the paper over to one of the little screened-off booths, and put a mark (usually a cross) in the box next to the candidate you want to vote for. Then fold your paper.
Come out of the booth, find the black plastic box to put your paper in (the officials will help you if you're not sure or can't see it). Post the paper through the hole in the top.
Dodge the tellers on the way out, or tell them how you voted if you want to. And job done.