Go with Savage for your first build! I say this because it is a rabbit hole that you will love.
IMO a factory Savage barrel with good reloads will out shoot you!
Here is a link to a really good deal I recently did on Savage Shooters:
110 Trail Hunter
I got a an action for $100.00! after selling the other parts. You do not have to spend $1.400 to get a a $600 rifle that shoots better than you can!
You are doing the right thing by doing the research, it is huge fun and rewarding good luck.