Hi and welcome to HT!
Another member here says that there are good deals to be had on packages with lastminute.com so they may be worth a look.
There are no non-stop flights from Birmingham. The only non-stop, as opposed to direct, flights are Virgin from Gatwick, BA from Heathrow and from next year, Virgin from Manchester.
You can price flight only on sites like
http://www.netflights.com http://www.opodo.com and
http://www.kayak.co.uk
You can get far better hotels than the Luxor for the same or similar money. Any reason you fancy the Luxor?
Use the search facility on here as there are several topics on Vegas.
If you decided to book everything separate you are better booking direct with the hotel. You will only pay the first night's deposit which is normally fully refundable if you cancel at least 72 hours before arrival should you find a better offer. It is far too early for hotel offers, but have a look at the Vegas Hotels topic in this forum for an idea of the kind of offers you can get.
You will be better with one room per two people as there is a charge of $30-35 per person for any more than two in a room and you can get another room for the extra you would be paying.
For a group of guys the MGM Grand and Planet Hollywood might suit. Luxor is very far south and isn't that great a hotel.
luci