snr_gallery,
If you're looking for a broker to buy real shares then
http://www.comdirect.co.uk is one of the best as far as "cheap quality" goes. There are cheaper and more annoying brokers/sites out there, but ComDirect have been my first choice for a number of years now.
Headline trading prices are only half the story though - ability to trade within the yellow strip can be important - some brokers are not very competitive in this respect - even if trading charges are a couple of quid cheaper.
Do these brokers offer Automatic execution services where I can place an order on the weekend say to purchase stock first thing Monday?
Like some other brokers ComDirect have 'limit' orders so you can put something in place at the weekend if you want to buy or sell at a certain price on the Monday - but I'd caution against leaving limit buys in place; you never know what's going to happen in your absence (you wouldn't want to be the first buy post a profits warning I presume!)