I have both. You can't go by frame material alone: a carbon frame can be a plush enduro bike, a Ti bike with oversized tubes can be an unforgivingly stiff racer. Carbon can be very robust and durable, but assembly generally requires a bit more care with items like clamp-on FDs, cages, stems, seatposts and the like. Ti is generally much more tolerant of gorillas. Ti bikes generally feel a bike "springy" and "twangy" with a pleasant smoothness (hard to explain), similar to older steel bikes. Carbon in generally stiffer and damped. Ti frames "ping" over bumps, carbon frames "clunk".
I see upsides to both. If you're not going to do the work on it yourself, pick based on ride not materials.