I've burned loads of CDRs (not CDRWs) for my own home or car use over the past decade or more. I have never had a problem with them playing on anything other than very early prehistoric CD decks, late '80s/ early '90s ones. I've not so far found one that still won't play, even decade-old ones, other than where a few were left for several years in a rack on a window sill and the outward-facing edges of the discs got visibly degraded by the sunlight/heat.

My current convenience method of digitising off vinyl is to play it into the line input of a little Marantz portable WAV recorder, dump the files onto my iMac (which is in another room from my record deck) and chop the tracks up in Garageband 5. I've made a standard effects pre-set for Garageband that adds a bit of subtle compression and EQ that seems to nicely compensate for the (lack of) qualities of my record deck, and it doesn't take long to get very good at start edits and fades. iTunes does the rest for burning the CDs.

We're blessed with affordable, user-friendly and reliable technology these days.