The specific conditions depend on the desired regioselectivity and the chemical structure of the cycloketone, e.g. enamines that work by Sn2 mechanism, favor α,α’- dialkylation; contrary to silyl enol ethers that work by Sn1 mechanism and favor α,α – dialkylation or alkylation of the α secondary carbon. Using very strong bases α-alkylation can occur directly and thus, avoiding enamines or silyl enol ethers. In presence of β-carbonyl, β-carboxyl οr any other β-electron attractive group, α-alkylation can occur by using less strong bases. And so on…
The best method is the preliminary literature search for α-alkylation of cycloketones with similar chemical structure.