It does sound like you're receiving the full estate agent/solicitor package there, as per all the advice on here, don't go with one "recommended" by your estate agent.
Sadly for those that only ever have the need of a solicitor when they move house, the estate agent recommends a solicitor, you blindly follow their recommendation, the solicitor and estate agent have a cozy little arrangement, and the punter is none the wiser, thinks the price is normal.
They are the exact ones who totally failed to give me correct advice, costing me a fortune, IMO and experience, avoid with extreme caution. They offered totally inappropriate advice, just to make sure their deal went through on time to suit them, they do not give a hoot about their clients, just...
I've heard it can be beneficial to use a solicitor from a cheaper area, location is not relevant, maybe try somewhere in the northeast. I heard this when my most recent move was handled by a local firm who were utter rubbish, gave me incorrect guidance that cost me even more money, and they were...