Good advice so far.
If I may add, the two signals can not be combined.
If you really want to future proof your installation, use CAT6.
In the past few years, lots of commercial plans I've seen, call for CAT6 and in time it will filter down to residential work.
The max frequency of CAT5 = 100MHz The max of Cat6 = 250MHz
Cat5 is to CAT6, what RG-59 is to RG-6
As an example, my house was new, 15 years ago.
Unbeknownst to me every room has two wall jacks wired with RG-59
All that wire is pretty much useless to me.
I have satellite and the RG-59 can't handle it's high frequency.
It's not even a good bet for over the air FM