I should point out that a) this wont be able to start until the AAIB approve it on completion of insitu investigations and b) it wont be the airport doing the recovery. The airline insurer will arrange the recovery by their prefered specialists though they may ask the airport to obtain certain items (such as the crane or one of the various national Aircraft Recovery Kits held at a couple of airports around the country) from local suppliers. The normal two in the UK are British Airways Engineering or Air Salvage International.
Though even recovering the aircraft wont be the end. The airport will then have to get and damage to the runway and lighting etc. repaired before they can reopen. Again, these activities cant start until AAIB approve it.