Deadly serious, no pun intended...
It can be done, but if you want to survive your hobby you're going to need to take a very professional approach, Jets aren't for Kids. Sounds like you have a reasonable grasp of that, and good expectations of your way-ahead.
Get your PPL and Instrument Rating in a light single engine plane. A cirrus is probably about right, fast and modern instruments. If you or your instructor doesn't think starting out in a cirrus is a good idea, then start in a cessna or piper and transition to the cirrus after PPL and about 100 hours.
Fly a few hundred hours ASEL. Then get a multi add-on, and start flying a twin, preferably something sporty like a Baron with glass instruments. Shoot for 1000 hours total time. That's the threshold at which a professional pilot becomes insurable as an SIC
While building prop experience, fly IFR as much as possible, limit IMC/weather to your comfort zone and the capabilities of the plane.
At this point you could move up to a turboprop, but that's going to add some complexity that's not even present in a jet, so you could probably start training on the jet at this point, although getting an honest assessment of your skills by an experienced jet instructor would be wise.
If you end up doing the twin turboprop thing for a while, use something with glass instruments and FADEC, since that's more similar to a jet.
The jet mfg. will have a recommended or mandatory course of instruction, and insurance will weigh in on that as well. You'll have to fly X number of hours with a qualified instructor or other pilot with experience in type. I would suggest doubling the number of hours the insurance requires.
Insurance will probably require annual recurrent training... you'll want that regardless. You should carefully review all of the memory items EVERY time before you go fly. Recency of experience is vital, flying at least once or twice a week, especially for the first few hundred solo hours will greatly aid in making your skills second nature and preventing degradation between recurrent sessions.
If you're going to undertake a challenging mission, hire an instructor or pro to sit right seat as a backup.
That's what I'd do in your shoes, knowing what I know now.
For perspective, airline pilots need 1500 hours to serve as SIC on a jet, and 2500 hours and 1000 hours or turbine experience to serve as PIC. And that's in a very structured system where you have dispatchers looking out for you to a degree.