I'm in the process of cabling an old house for network (cat 5e not 6) &
telephone.
It has just dawned on me that I also should run co-ax for tv and radio
outlets at the same time.
Any suggestions please for what type of co-ax I should use and any
recommended suppliers. I will need about 300m for each.
Max. run is about 35m.

Any other pratfalls that I should be aware of?

The old house was totally rewired and equipped with a new ch/hw system
about 6 years ago. These are fine.
Burglar alarm and smoke/fire detection stuff is in place and working well.

The house is my late fathers old place and I intend to move into it.....
eventually.

Thanks

Nick.