Shop around as the fees do vary but be careful, ask about the reputation of the firm that you decide to use. It's often cheaper to use solicitor's property shops as they have an all in price for the property sale and conveyancing together.
Be very cautious of conveyancing companies (as opposed to solicitors). I used one because I thought it would be cheaper but they ended up costing me a lot of money because they sent standard letters to the vendor of the property that we were buying without checking that they were correct. The letters were set up for the usual, purchase dependant on the sale of other property, when in fact it wasn't the case.
When the vendors received this letter they started to market the property again and got a buyer offering more, we had to up our offer to match it!