While most was said above
There is also the factor da55 aka "you".
@1sostatic for instance says:
[estimate complexity and cost to each then list the ones you can do and the ones that you need specialist outside skills for]
Not a bad advice at all, but if all is new to you, you can also underestimate yourself from the start and that our cars are using "rocket science level" parts.
Keep in mind that restoring a car isn't a sprint, it's more a marathon.
Because the duration is quite long (what you see on TV shows is nowhere near what really needs to be done), you will develop own skills that will open new possibilities as you go. What you may classify today as not doable may very well be in just a few months of practice if you really go for it.
Just to give you an example using your quote "I think the transmission is pretty good.",
If I'd apply the above, last year I knew I would need to repair the c6 trans. A quick search on the very few capable addresses here says that it would cost me +-1200 for basic refreshing work that is changing just the frictions plates. That is me bringing the trans to them. Then the cost of the parts. Which is vague as its basically the company that would pick the parts they need using their own. Overhaul kits+shifkits+import costs and their com, k, 2.5 to 3k is prolly what the estimate would be with the high Dutch prices.
If you look at the todo from another perspective and estimate that if someone not obviously much smarter than yourself can repair a C6,
you can conclude that you "could" do it. In this particular case, I've took time to search for doc, needed tools, watched vids and took the controlled risk to try as what I've seen didn't look that much above my head. In worst case scenario, I'd loose only the parts costs for my attempt and go with tail between legs to a shop.
In the end, I have a restored trans, better than its original specs which the shop would not have done (unless asked but as you do not know, you do not ask) and also it got detailed inside out which is also not to be expected from a shop, all for less than 600. (all inclusive the import costs I had to pay for). Not counting a new converter.
Most importantly, the trans is no longer a secret box with magical components to me and if something would go wrong, I would know exactly where to look at.
The more you do, you more you learn and each part you restore benefits from this evolution.
If you really think you can't for some reason, then indeed let a specialist handle the task.
So my take/advice would be as all said, prepare yourself for the long run. Have from the start a good picture of where you want to be and just take 1 prob/part at a time to get there. If you are like me, limited by space and even weather, you need keep the details for the dark/cold days and the bigger things for the dry warm days. It's been said many times, but again: take pictures, pictures and more pictures. What you think is obvious during removal isn't that obvious years later.
Invest in good tools made for the job you need to do, safety helpers (and order a MIG welder today) !
Do not cut corners. The days where some blingbling paint job, a new set of wheels did the trick are over for our cars. Now 50 yo, they need be restored.
Satisfaction,
Oh hell yes! To me It's not just the moment you turn the key. It's every bits of the work along the journey. Each failure turned into a fix, each rusty part brought back to shiny state, broken things working again... Satisfaction all the way for me, best hobby ever!
Good luck and don't forget start a project thread so we can follow your progresses!!