before you attempt it read all of this If you lived near me I'd do it for you, this is the best I can do to help you
get a good magnifying device. I solder tiny stuff like this at work and at home using a high end soldering station with reflow station my tips are tiny needle like tips. its an expensive set up and most folks wont have this gear. I use a head set magnifier looking through a desk top magnifier both are ten power each. I can see the grain in the metal components its that powerful. if your hand isn't steady enough build something to rest your hands on to do the job. Prep you will need to pre-tin a tiny wire or component leg such as a through hold resistor leg or lead to use as a jumper, tin each end set everything up for the task, place one end of the tinned jumper on the leg of the chip touch the hot soldering iron to it for a second and pull the iron away lightly tug on the tiny wire if it didn't stick do it again for two seconds repeat for the other leg to complete the jump.
If your soldering iron isn't tiny enough in the tip grab a length of multi stranded wire and strip one of the strands from it wrap it around your soldering irons tip tightly and use the end of the strand to solder with as your tip. sometimes a paperclip will work for this also. make sure you get the iron hot enough that it melts solder as soon as solder touches it this is key to getting it done fast so you don't put to much heat into the chip and fry it. the jumper can be made from a strand of wire or the leg of a through hole resistor or diode if you have some laying around. Before you start use your magnification and a #11 exacto blade to scrape the legs you want to solder to, your trying to insure you remover any coating that may have been put on the board after production, it will look like a clear varnish and shiny, covering all the components. not all places use this to seal boards, but make sure just in case by scrapping the legs with the tip of the exacto blade.