When it comes to designing a workout program for yourself, you need to understand what your short-term and long-term goals are. If you don't have any specific goals other than just getting stronger and healthier, than maybe you should sit down and figure that out first. Once you have figured out exactly what you want to get out of your workouts, that's when can you start picking out your routines.
If your goals are to lose weight, get toned, increase your speed etc, than you might look into doing full body workouts. Full body workouts, as you can imagine, are workouts that work all the major upper and lower body muscle groups. These kinds of workouts should be done only 2 to 3 times a week because, since you are working the majority of your muscles in a single workout, you need more time to recover. Also, if you are a very busy man and don't think you have the time to workout more than two or three times a week, or you don't want to workout more than you have to, full body workouts are pretty much your only choice.
If your goals are to bulk up (A.K.A put on muscle mass), then split routines are the way to go. A split routine is also exactly like what the name says it is. It is a routine that is split up into separate muscle groups depending on the day of the week. Common examples are splitting up workouts into chest and triceps on day one, back and biceps on day two, legs and shoulders on day three, and then take a break and rest on day four. Then repeat that whole schedule over. These split routines will get your muscles stronger faster than full body workouts because you are giving every single muscle a harder, more intense workout than you ever will be able to with full body workouts. Taking your biceps as an example, if you do a full body workout you are probably doing one or two exercises that work the biceps a couple times a week. With a split routine you are doing four to six different exercises that work the biceps twice a week. That is quite a lot more stress being put on the biceps a week.
In conclusion, neither is necessarily a better type of workout. It all depends on your goals.