Well there you are - A usable set of scales to get you started. Like I said the Lee scales are accurate enough, just fidley to use, they can also be used to weigh the lighter bullets up to a hundred grains. (Depends how small you want to try and get those groups) The Lee hand press is a useful tool and even if you move on to a more substantial bench mounted press you want to hang on to it. The way I use my hand press when developing a load is this:
When I have a load that looks promising I load about 20 rounds as exactly as I can, cases carefully prepped, powder weighed to the nearest kernel, bullets selected and weighed and then seated out as far as possible (out to the lands if possible but you may be limited here if you need to feed from a mag or if you are shooting short light bullets)
Then shoot your group - from a really solid steady position on a still day. If you are satisfied that you have done your bit well then measure the group.
Now - this is where you hand press comes in. Take the next 5 rounds and seat them in an extra 25 thou. (that would be half a turn of the seating rod in a normal 20 threads per inch rod). Shoot the group and measure it again. Same routine, seat the next 5 50 thou in etc.
In an ideal world you should see your groups start wide, maybe and inch and a half, then shrink down to maybe 3/4 inch then start to open up again, then then the next batch you load up you can play around that sweet spot with some fine tuning. Like you have already heard from a couple of guys here - genuine, consistent sub-inch groups need real work.