I would not recommend the CDT if this is the first truly long hike you're looking at. The level of wilderness skill required for it is much more stringent than the other two. The access to resupply and other logistics is more limited. And yes, as earlier mentioned, you'll be much more isolated if you encounter problems.
Also, the timing of your visit will make a significant difference. If your time off begins in say, February or March, the AT is the only real option, since the outher routes are under too much snow to make a traditional thru-hike possible.
OTOH, if you can't get here until after June, the AT is likely again the only good option, and you'll need to walk it southbound because the northern terminus at Mt. Katahdin will close typically sometime in October to all except parties with special approval and experience in snow/ice mountaineering.
If you can get a starting in late April through early June, the other trails become more doable.
I will say the PCT definitely offers better views than the AT. But don't write the AT off. There is an incredible trail culture on the AT built around the trail community and its hikers that I didn't feel in the time I've spent on sections of the PCT.
Of course, I was section hiking the PCT, while I was fully immersed in trail life as an AT thru-hiker, so I may have missed out of some PCT culture, but the difference was notable to me. AT trail towns are unlike any place I have ever been, and while I am something of an introvert, I found I really enjoyed being part of a wandering tribe on the AT. Plus you get to experience small town America in multiple regions. On the PCT you just don't get so much of a cultural immersion.
But if I had 5 months off now, in the right time of year, I would choose to hike the PCT, having already done the AT.