I would recommend against tweezers. Never used one, it is too easy to lose parts that way.
I just use something like this when I do need to hold down an SMD (rarely):
Just tin one side, put the component on the board, push it close to where it should be, slightly offset toward the untinned pad (except c1 and c16, they wont move as they are heavier, so put them exactly where they should be). Heat the tinned pad, the component wll be sucked toward the soldering iron. Pull the iron the moment this happens. Now put some solder on the other side, if the component is aligned correctly. If it is not, use the tool to realign the part
as you heat the solder. And finally come back to the first pad and add a little solder if needed.
If I had never done SMD before, I'd suggest getting a little throwaway kit. They sell those for 3 or 4$ with a board and many practice components. Start with those