There are various ways to negotiate a lease with a landlord. Many/most would much prefer a longer lease, and so many likely would give you a break on the price. Agreeing to handle minor repairs yourself is another way. Agreeing to automatic withdraws from your checking account when the rent is due is possibly another.
Basically, anything that can make the landlord's life easier or simpler is a possible negotiating point.
Hope that helps.
Speaking from a Property Managers point of view... You can always negotiate rent. Many times there is some leeway built into our owner agreements.
Depending on the area, we are getting multiple rental offers and the days on market is not long.
The downside to asking for a longer lease, it locks you in as well. If you have to move early and break your lease it will cost you. We just had that situation with a high end rental, they asked for an 18 month extension and broke the lease with one year left on it. They had to pay an additional 3 months rent.
If you have any questions, call me at 678-488-0183. Be glad to help
One note about renting. Lately, everyone fancies themselves an investor/landlord. As much checking as they do into your background, I'd recommend doing the same with your landlord. At least google them or ask for references. There is nothing worse than being in a rental situation, having something break and getting no response from the landlord. You can never be too careful!
Best of luck,