I just started working with my first resin parts (Classic Airframes 1/48 Bf109D). It's actually pretty easy to work with. Get yourself a nice X-acto razor saw set. I picked mine up at my LHS (High Sierra Models) for about $15. It came with a nice sturdy handle and 3 razor saw blades.
I use the razor saw to cut off the big blocks. What works for me is taking a small wood cutting board, hold the part down firmly and then carefully begin sawing the block off. Don't cut too close to the part so you don't risk accidently cutting the part. It's almost impossible not to make a straight cut with that razor saw set.
I got a really nice set of sanding sticks which I then use to sand the rest of the resin block, the coarser ones to wear it down quickly, then the finer ones to get a nice smooth finish/edge right down to the part.
A set of small/fine files would also be helpful, the really tiny ones.
I do all this work either by the kitchen sink or the bathroom sink downstairs (I soooo need to put a utility sink/counter in the garage ) as sawing and sanding will produce a lot of resin dust.
Some people go a little overkill and insist you use a respirator. It's no more hazardous than sawdust, paint dust etc. which you encounter doing "do it yourself" handiman projects around the house. And just like the dust from those kind of things, you don't want to breath it in. A mask that covers your mouth and nose will be sufficient. I rinse the parts frequently as I cut and sand to help keep the dust down and clear it away so I can see what I'm doing as the dust will built up on your hands, saws, sanding sticks and on the parts.
With a little care and patience while you learn the ins and outs, you'll be a pro with resin in no time. I can't believe I let it intimidate me for so long before I tried it. Piece of cake.