Howard offers a nice cot, space heater, and hot plate in the garage.
Leonard suggests Raj stay in their spare room.
Sheldon tries to talk Amy into introducing a life-size superhero figure into their home.

Credit: Michael Yarish/CBS
Clearly, hes not a participate in the game.
When Sheldon learns that Raj will be staying in his old bedroom, he takes the news very well.
This is the new and improved Sheldon.
This version tries to hold in knee-jerk reactions and applies emotional filters.
Everyone is shocked by how Sheldon isnt flipping out.
Back in his apartment, Sheldon flips out.
Poor Amy has to be the brunt of her boyfriends frustration.
As it turns out, Sheldon is feeling a bit replaced.
Amy understands, reminding him that he has a lot of memories in that room.
Its where he first told her he loved her.
Just as I thought, Wasnt that outside the room?
Itwasjust outside his bedroom in the hallway.
And Im forever aBig Bang Theorynerd.
Amy goes on to say that Raj is probably feeling blue.
Hes lost his apartment, hes in debt, and hes obviously humiliated.
Sheldon should cut him some slack.
Amy has the wherewithal to escort Sheldon back to their apartment before he sticks another foot in his mouth.
A confused Sheldon immediately calls Dr. Beverly Hofstadter to help him puzzle through his emotions.
Leonards mom tells Sheldon that he is obviously using his old bedroom has an escape hatch.
Clearly, hes worried about being trapped in a relationship with Amy forever.
That bedroom is his safety net.
Then Beverly pinpoints a problem with her son and his wife.
Why is it that they are always trying to take on roommates?
Are they avoiding harsh realities themselves?
Newsflash: Hed save Amy for dessert.
Cue Leonard calling his mom.
Dr. Hofstadter defends herself by pointing out that this roommate business is a theme.
Remember when Penny offered for her brother to move in?
Of course this is a problem, right?
He hates that everyone is fighting because of him.
He makes up the couch and has a heart-to-heart with fellow moocher Stuart.
Why would he choose between independence and a steam shower?
Stuart plans on retiring here, and if Raj has a brain, he should too.
The next day, Penny and Leonard ask Raj to move back in with them.
They are entirely comfortable in their relationship and view this endeavor as simply helping out a friend.
Raj agrees and Sheldon is forced to live with a tiny dog across the hall.
He may never visit Penny and Leonards apartment again.
Its a good thing he and Amy have a life-size Batman to keep them company.
Theoretical Laughter
RAJ: Whats is like sharing a bathroom with Penny?
Is there hair everywhere?
Does she share your loofah?
HOWARD: You have a Raj.
We have a Stuart.
Maybe we can take them to the park and let them run around a bit.
BERNADETTE: Nobody needs a mooch living in their house forever.STUART: Hey.
Thats no way to talk about your baby.