The are pluses and minuses to both. What we are talking about is bulk aging. It is clear that bulk aging is a good thing, therefore the question is, on the yeast cake or off? In commercial brewing, the beer is typically bulk aged OFF of the yeast, so for many years, this was the std. practice for homebrewer. Now it is evident that no great harm (in most cases) will come to your beer if you leave it on the cake longer. So that has become the fashion.
My recommendation is to try it both ways and decide for yourself. Some very knowledgeable and experienced brewers had done some testing, and most of them could taste a difference between the beers aged ON the yeast versus those OFF the yeast (done with a secondary). The kicker though was some preferred the ON version, some preferred the OFF version. Generally the ON versions were a little more estery and the OFF version were felt to be cleaner tasting. This is why I recommend taking the time to try a recipe twice, one each way, and decide for yourself.
If you are new too brewing and don't feel confident in your sanitation, then your best bet is to do primary only. The more you manipulate your beer the more chance you have of infection and/or too much oxidation. However, for those who prefer cleaner tastes, it is worth it.
My only caveat with primary only is for those whose beers are fermenting on the warm side. The warmer the beer is at for both fermentation and aging, the stronger the flavors you will get. You might like them, you might not
And yes you can transfer, clean, and then transfer back. I did this years ago when I was just getting started and had no problems