I prefer tourist missions with destinations that are no more than 200-300 ly out, and not more than 3 stops (okay.... 4 stops if it's going to pay REALLY well). Avoid 'criminal mastermind' missions unless you enjoy the excitement of avoiding scans with the risk of getting your ship blown up if you do get scanned.
I generally run celebrity or CEO tourist missions. The CEO's are a bit more forgiving than the Hollywood types. Be sure to read the descriptions of their traits before you accept, so that you know what can cause the mission to fail. Also, I ignore their requests for commodities during the trip. When you get those messages, just close them. DON'T DELETE THEM! Deleting the message will lead to reduced happiness of your passenger.
I typically run 2 missions at a time. Any more than that and I feel like I'm bouncing around the bubble too much. I run the missions in a Conda with G5 engineered FSD. You want to use your highest jump range ship, to increase your efficiency.
Only the Beluga and Orca had carry luxury cabins, but there are plenty of good paying missions that utilize first class or business class cabins.
Tourist missions are also great for seeing new sights! You'll see things that you probably haven't seen before in the game.

I recommend carrying an SRV on board, so that you can check out of some of the surface destinations.... if you're not in a hurry to complete the mission.