I am thinking of moving to Taiwan and have question cost renting, food ect.

Which city are you going to stay? Anyway, a suit with two bedrooms costs 15,000NTD per month. If for a common house with a bedroom and bathroom, it costs 7,000-8,000NTD. This is just for your reference.

Dining: For a regular meal, 100NTD is enough. If you prefer a set of fine food, 250-300NTD may be needed.