Guys, you do realise that every single one of you has described the English system. Taking a stab based on the OP's location his parents may well also be in Scotland in which case a lot of the processes are very different.
For example the estate agent's role is vastly smaller - all offers etc are handled by the buyers and vendors solicitors.
Normally properties are sold on a blind auction "offers over" pricing although in the current climate a much higher number are going to fixed price. Remember in Scotland once an offer has been accepted that's pretty much it, none of this backing out with two days to go because you think someone will give you more money.
There is some advice which is common of course - scoping out mortgages first etc. I would suggest talking to a solicitor first, preferably one who is recommended to you, they be able to give you an idea of costs, timescales etc.