That's rather an open question, as it all depends on the dates and places. Really, the only thing you can do is try them both out and work out which is best. Bear in mind that by booking separately
- you have much greater flexibility in accomodation, flight schedule, airline, class of travel, itinerary etc.
- you can often both save some money AND benefit from lower room rates by booking direct AND joining whichever hotel chain's loyalty program. And maybe other benefits like free WiFi you may not get with a package
- BUT you do have to cover things like airport transfers (if needed)
- AND in the unlikely event of a major business failure, (such as an airline going bust) you may have to manage the situation yourself to a greater degree than with package protection. But at least, you won't be in a situation where (as reported recently with Thomas Cook) your hotel demands EXTRA money from you - money you have already paid out to the failed TourOp - or they threaten to throw you out.
I just about always book each component direct nowadays. I do prefer the flexibility to choose exactly how long and where, and I do make use of loyalty points etc. Incidentally, whilst I do use the likes of booking.com and Trivago etc., to assist with initial hotel research, I have NEVER YET found any of them to offer me a better deal than I can get by (once I have chosen) booking direct with the hotel itself (or its corporate site).