Here's more information on the contracts from Jim Thomas.
Final 5 picks _ T.J. McDonald, Stedman Bailey, Barrett Jones, Brandon McGree, and Zac Stacy are 4 year contracts.— Jim Thomas (@jthom1) June 13, 2013
All seven Rams draft picks have agreed to terms. First two picks _ Tavon Austin and Alec Olgletree are 5-year deals.— Jim Thomas (@jthom1) June 13, 2013
There wasn't a rush for the Rams to sign their rookies, due to the fact that all of the rookie contracts are basically slotted, to prevent the blockbuster rookie contracts, like the one that current Quarterback Sam Bradford has.
The Rams realize that the NFL is a business and they want to help the rookies, so more than likely the Rams held meetings with the rookies and taught them about the business side of things, and there's no better example of this than with 1st round draft pick Tavon Austin.
Rams's Tavon Austin, 8th pick in Draft, signs four-year guaranteed deal worth $12.75 million, which includes $7.65 signing bonus.— Andrew Brandt (@adbrandt) June 13, 2013
If Brandt is right, that means that Austin received just a $7.65 signing bonus, currently it's not known if the Rams gave Austin a check or if Head Coach Jeff Fisher just gave him the money in cash. Either way his cousins, and the whole city of Baltimore can't be happy with that signing bonus.
The Rams uploaded pictures of the players signing their deals.