I would rather go for the first appointment late January. There really isn't much to see this early (I assume it is still very early) and it might be too early to see a heart beat (and you might worry that there is something wrong). If you have to, you can try hospitals. I went for an early one at Wilgers hospital in 2011 (and paid cash for it, something like R500, can't remember). It felt like a waste of time in the end, but I know how long a month can be when you have to wait for the 1st sonar...
Alexander (the Great) born 17 Feb 2009, now a little man:-)
Cherise born 20 April 2011, mommy's little angel.