What should be the word order after forms of welcher? Should I put the verb at the end of the sentence or is its correct as shown below?
Ich möchte gern wissen, welche Bedingungen soll man erfüllen.
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The point is not whether "welche" appears in a sentence. The point is what type of sentence you're forming.
Welche Bedingungen soll man erfüllen?
Ich möchte wissen, welche Bedingungen man erfüllen soll.
As you see, a subordinated clause has the finite verb at the end, while a main clause has it in the second slot of the sentence. All the question words with "w-" can be used to construct both main clauses and subordinated clauses, so they are useless as an indicator of verb position.