jacking up house
I would say the "sill repair & jacking" article
This is professional grade of work, so I would suggest you would need to have a construction company or experienced carpenter & possibly a structural engineer work with you.
Alter Eagle Construction & Design
To replace these you don't always need to jack up the area but if you need to then use commercial screw jacks. They can be rented at most rental centers. Jack only what you need to remove the sills and other rotted pieces. It shouldn't be much that you will have to go up. The rule of thumb with these jacks is after you have made contact with the area to be raised then make one turn per day on the jacks in order to keep from cracking any walls. Again you shouldn't be worried too much here because you won't be going very high.
I would do the sills etc. in sections and that may mean cutting them into smaller pieces in place. For this use a drill to make the initial hole and then a redip saw to cut through the sill or rim joist. You can use a good wood preservative to protect the new wood You may have to use splices where you cut and match the new work because the joists will be in the way where the joints would normally go....Good luck....MJH