First rental, person wants short term lease & pay more

[Jon Swift]

I'm currently rehabbing a house to move to and plan to rent out my old house. I was planning on only doing leases for a year at a time but someone wants to rent the house for 3-6 months and said they are willing to pay over the amount I have the property listed for to get in there. 

 My question is, since this is my first time renting a house should i avoid short term leases for the time being? Also if i were to decide to rent short term and have them pay more what would be a reasonable amount, $100-200 extra a month?