The rickshaw guys will quote you insane prices like 60-80 EUR for a short tour. For basic rickshaw rides (different from motorized tuk-tuks which cost more), start at 10 EUR and be willing to walk away. Fair price is 10-15 EUR for 30 minutes in Alfama.

Best strategy is to approach them away from major tourist spots. Near the Cathedral they know you're desperate. Find them on side streets and you have more bargaining power. Remember these manual rickshaws are cheaper than motorized tuk-tuks but cover less ground - perfect for short scenic routes through narrow alleys.