The man who has played more games as a Blue Jay without playing for anyone else will be losing that particular distinction. Adam Lind is a Milwaukee Brewer.
The new Blue Jay is Marco Estrada, a 31 year old RH from Sonora Mexico. Estrada spent 2012 and 2013 in the Milwaukee rotation, going 12-11, 3.75 in 50 games, 44 of them starts. He spent this past season as a swingman and managed to lead the NL in HRs allowed, giving up 29 of them in just 150 IP.
Lind will presumably get most of the playing time at 1B for the Brewers, with Mark Reynolds as his platoon partner. He'll essentially be replacing Lyle Overbay on the Milwaukee roster. The Brewers lineup has a severe RH tilt, so this is a pretty decent situation for him.
Other news: the Blue Jays have extended a $15.3 million qualifying offer to Melky Cabrera. In addition to exercising their $7.5 million option on Lind prior to the trade, they also exercised their options on J.A. Happ ($6.7 million) and Josh Thole ($1.75 million.) They have declined the options on Dustin McGowan, Brandon Morrow, Sergios Santos (who can all choose free agency, and Justin Smoak (who remains under team control.)