buying a house in newyork state (first time home buyer)?

I am a first time home buyer in new york state. what are the most important things I need to know? also is now a good time to buy? the home i am looking at is assessed for 35k (assessment is current with in the last 3 years) the asking price is 59.9k is this high? I should also mention this house is in excellent condition. there are a few very minor defects. also what can i specefically ask in for in the sale contract? there is some trash i would like removed before the closing. this is stuff left from prior tennants. there is also tennants in the house now. if they do any dammage before they move out can i have it stated in the contract that its the sellers responsibility to make any repairs from the disgruntled tennants? thanks in advance for any advice.