For what you feel:
感觉 can used as noun, for example: 冰冷的感觉.
you can also use 感觉 as a verb, followed with noun/noun cause:
我感覺全是投機取巧
觉得 cannot be noun, used as verb: 我觉得很冷
For what you think, not about feeling, and followed with a noun/noun cause:
you can use 觉得 as a verb: 我觉得(我)會勝利.