You could call /email a few solicitors and get a price and ask for a timeframe?
Then work from there - although, it is better to try and get a recommendation from someone who has used a firm?
"Could I get this done with 1 company and use a different company too close the deal ? "
That's a bit pointless is it not? The second/ different company won't have done the pre-Auction report.
And the first company may say that issues arose that they were not aware of post the report?
Do you not think you're going a bit overboard potentially thinking of using multiple firms?
mf