I'm just transitioning my 3.5 year old to sleeping in his room alone. Though he is older, this may still help as far as putting your toddler in another room. I first set up a room for him and started sleeping in his bed with him (not a crib obviously). Next, I started sleeping on an airbed in his room. At first I still lay down with him until he was asleep, then moved to the airbed. Then, sat by the bed letting him touch me while he fell asleep. then no contact, then moved the chair to the foot of the bed, then outside the door, out of sight. You get the idea. I always told him what to expect, I think it's important to build trust. There were a couple hard nights at first, he woke in the night, and so mad. I was near though, and I kind of talked him through. I offered comfort but let him know that I expected him to stay in the bed, and encouraged him to use his music player (a crib toy with a big button on it he could control in the night if he woke) and a lovey (he never had one before, I think I have been his lovey). He learned quickly. In the mix, I moved the airbed from next to his bed, to the foot of his bed (out of sight). I also got a night light.
This gradual approach works well, and a change every 3 to 4 days is appropriate. Since you need to heal, perhaps Dad could do this. Your baby is approaching one of the peaks of seperation anxiety, so I feel like the gradual approach would really be worth it and would have a better long term result.
Along with The No Cry Sleep Solution, I also found Sleepless in America (Kurcinka) to be very helpful in developing a strategy for the transition. The "Baby Whisperer" also offers good suggestions along the gradual approach lines.
This may not apply since yuor baby is younger, but I say it in case it comes up later for you. To get at my son's fears, I did some doll play with him. A couple of dolls or puppets and together act out some regular daily routines, getting up, going to the park, eat, bath etc, encouraging the childs participation, then comes bedtime. The doll does not want to sleep alone. Ask your child why. I learned that my son was afraid of thunder (I got him some "ear protectors", a soft headband really, he did not use them for long) and stingrays (huh?). I told him that stingrays only live in water. Then when I suggested we get some "stingray stopper", he told me that we didn't need it because they only live in water. Somehow, going through the process of dicussing those fears seemed to be enough.
I wish you a speedy recovery and best of luck with the transition!