Edinburgh is well-served by both air and rail. The train journey time from London is about 4 1/2 hours (longer on Sundays).
Edinburgh airport is a 20-minute bus ride from the city centre (Edinburgh(Waverly) railway station). The service runs every 45 minutes, and costs 3.20 pounds. A taxi to Pollock Halls from the centre costs about 3 pounds (12-16 pounds from the airport). Bus routes 14,21 and 82 run from the city centre (Princes street) to Pollock Halls, on Dalkeith Road. The fare is 55 pence.
Glasgow airport is a 90-minute bus ride(50 miles, 80 km) from Edinburgh. "Citylink" buses run regularly from 8.00 to 23.00, from Glasgow airport to Edinburgh city centre(St. Andrew's Square). The fare is 6 pounds single, 9 pounds return. The Citylink phone number is 0990-505050.
Some information on rail travel in Scotland is available here
