You should always start with starting pitching. Whatever success we had briefly was attributable to quality starts we received from Eovaldi, Hill, Pivetta and Wacha.
We should spend Eovaldi's money elsewhere. Hs ask will be based on historical results which probably won't be sustainable for next phase of his career.
We start with 'good' Pivetta. (29, $2.65M, 2 years of team control)
We go next with most recent Kutter Crawford. (26, league minimum, 6 years of team control)
We continue with Winckowski as a back end starter. (24, league minimum, 6 years of team control)
I think we have something in Bello as 5/6/7 option. (23, league minimum, 6 years of team control)
We will see Mata at some point in 2023. (23, league minimum, probably 7 years of team control, assuming call up in mid 2023)
We will again count on Chris Sale because we're paying him $25M+. (33, $25.6M, 2 years plus option year)
Big question is will Paxton (33) return at all this year so the team can evaluate him and pick up his 2-year option.
We will again sign Wacha/Hill type to round out the starting pitching.
Brandon Walter (25), Chris Murphy (24), Connor Seabold (26) and Thaddeus Ward (25) are other names to remember.
You ask where is the big name? Well, it should be Chris freakin Sale.