Having woken up a sleeping car (10 years in a garage, top down), I can only concur with the general thread and say take your time.
Besides a busted fuel pump, a gas tank that could never be cleaned, and various and sundry other flaws, the most extreme problem I encountered was when I pulled off the radiator hoses. The inlet hose to the block was completely plugged with solidified coolant. I’ve never seen this before, but I sure am glad that whatever this substance was I didn’t suck it into the cooling passages of the engine. The thermostat was covered in the same sort of morphing slime, which looked like it came out of a bad science fiction movie from Japan in the 50’s. Besides my initial shock and lots of “Well, what is that exactly?” I simply cleaned the stuff off and away I went. I put the same thermostat back in the car by the way when I got it cleaned. I boiled it in water on my stove, saw it worked, knew it was a Mercedes thermostat from all the stampings and numbers, so I just re-used it. It was three months from the time I bought the car that I even attempted to turn it over, and this was by hand.
My patience was rewarded. The car continued to have issues even after I got it running, but Dan worked them out for me. Mostly it was crud in the original fuel tank. Distributor problems too, but nothing really to speak of considering how long my car had been parked.
And today? Well, today, I simply drive my car. I don’t even carry tools or spares. I haven’t checked, but my guess is I’m close to 6,000 kilometres of effortless, top down fun this summer.
These are great cars. But you wake them up gently, as you would any car. The only difference is, once you wake them up, they’re all ready to rock!
Best of luck with yours. May the story be as happy as mine has been.