No 2K sounds about right to me. Your house sounds a bit smaller than ours and we had most of it done last year for about 2K. (included the paint though - and all white paint would be fairly cheap)
However, if it needs doing, I have to say getting it done properly is a huge relief - we had always done it ourselves before, but couldn't face all the woodwork and ceilings and whatnot. They do it far better and faster than you would and to me it was money well spent.
One thing you could do is look for a handyman who might do it for cheaper as he'd be working alone - it costs more if you use a company as obviously they are paying people and making a profit too. But get one who comes with recommendations.