You've acquired two costly guns. Taurus they ain't.

They were more expensive to make & to buy than their S&W counterparts, and they're more expensive now to work on.
The DS was dropped with a final relatively short run in 1994. It used the older Colt V-Spring action, which required extensive hand fitting of internal parts, and it got the deluxe blue job that S&W never achieved (or even tried to) on their .38 small-framed snubs.
The DS was considered THE top of the line snub, among any & all makers, for many years.
There are probably about half a dozen truly competent people & places left in the world that really understand that action & can be trusted to work on them.
DO NOT drop either of yours at your local gunsmith for work. If he's not on the short list, chances are about 90% you'll get it back in...let's just say less than optimal condition. If not downright severely screwed up.

He most likely won't know how to do the tune-up correctly, and he can't just order parts through Colt anymore. Lotta butchered V-Spring Colts out there that got that way by the "Aw hell, it's just a revolver, I can zip through it in a half hour!" school of thought. Even if the guy may be a whiz on Smiths, it doesn't mean he can do Colts.
I have three Dick Specials, including the one I bought as an off-duty piece in '81.
They are classics, and in my opinion are well worth spending some money on.
Again- Colt will not be servicing the critters indefinitely.
If you have the money, I'd strongly recommend sending both back to Colt for checkup & tuneup as needed. They are still doing it right, and the cost you quoted sounds very much in line. Re-finish or not, at least get the guts up to specs.
The Dick was never intended to be sold to the mass market that Taurus, Glock, and others cater to today. It was born in another era, when pride in work and pride of ownership were every bit as important as function, and it simply required so much effort in production that it priced itself out of the market.
Get 'em cleaned up, treat 'em right (factory says limited +P is OK, but I wouldn't), don't shoot the hell out of 'em in IPSC, and they should be good to go for many years.
Denis