You may want to try some gel-padded gloves for a start. Possibly look into new grips with better cushioning, too. If it's really the limited hand positions that are getting to you, check out getting either some bolt-on bar ends, or a higher rise stem and a set of drop bars so you can switch up your positioning.
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"I feel like my world was classier before I found cyclocross."
- Mandi M.