ANYONE can lease you a car.  A lease is nothing but a finance
arrangement whereby the initial payments are lower, but the final
payment is a "balloon payment"--a large payment--that can be satisfied
by returning the car in a specified condition.

There are many, many independent leasing companies out there in the
world.  Many in your town.  Banks and credit unions are getting into the
leasing game for consumers.

Never buy the car and the money from the same guy.  You will get
screwed.  You did good by not having the guy who sells the car handle
your tradein; for the same reason, don't let him handle selling you the
money.