I recently pulled a couple dozen stumps with my 790. As was mentioned, I cut the trees as high as I could comfortably (and safely) hold my chain saw. The type of tree had a lot more impact than the diameter. I could pull 6" sassafrass without a hitch, but 4" oak and maple are a different story altogether.
I ended up using a variety of techniques. The smaller/easier trees I'd just pull. Some I could even dig with the FEL (my soil is pretty sandy). Others I'd push on with the FEL up high then try to lower it for more force on the stump. If it seemed like it would budge, I'd go back to pulling.
The biggest ones (6-8" oaks and maples) I'd have to dig. I was able to dig with my FEL up to about three feet down on two or three sides. Then I'd push from the un-dug side and finally pull from the dug side to finish the job. It wasn't pretty but I'm taking all the top soil out anyway for a driveway. Digging by hand would work, but would have taken a lot longer. I'd use an axe rather than a sawzall, just for speed.
In all I spent a couple of long days and a couple of short days doing the stumps and top soil removal. If I had anything bigger I would have called in an excavator and saved the abuse to my tractor. It was fun though, and I got a lot of experience in the process.
I've picked up several chains at Quality Farm, TSC etc. I end up with two for most pulls. You want a slip hook at the stump end so the chain tightens as you pull. I also use a slip hook at the tractor end as it hooks to my drawbar clevis easier. That leaves grab hooks to connect the two chains (I only used one of the two).
Hope this helps, and have a ball /w3tcompact/icons/smile.gif