These are the few steps you should take to motivate the team

1) Don't even think of selling the credit of a team member on your name. Give the credit to individual in team and encourage him/her for the same verbally.

2) In case of some bad reputation comes to your team, try to shield the team members from losing their morals, but do not forget to take or suggest preventive steps to let happen same thing again.

3) Start work by self on some of the tasks which are boring though required (like documentation) before asking team members to do the work.

There are lot many tips like this one, but these few will help get hold of the team.