That's exactly what I would suggest.
10W40 full synthetic .
One point, if your car has a high mileage and had never full synthetic oil, it's not a good idea.
Because of the solvant which will clean the engine inside but may stroke too.
So depending on this, with a low mileag and an engine with half synthetic you could go for full synthetic, watching your oil pressure ( not too high at iddling hot) and drain again in one year to change filter with probably mud.
If the engine always had mineral oil and has a high mileage ( more than 50.000 km/miles) , go slowly.
First put 10W40 half synthetic, in one year drain and put the same and in 2 or 3 years, you could go to full synthetic, but drain every year to avoid any stroke from mud cleaned by the solvant in oil.
Hope you undertand the essence of my thoughts through my modest english.
Continental R . 1997