Outside is ok,just try to pick a nice non windy day when a technician would want to work outside.A smaller shop that specializes in autoglass is most likely to do a better job than a large chain where underpaid tech's are expected to do 6 cars a day in a 75 mile radius.Brand of glass you wont have much choice of ,nor does it really matter unless you have a show car and will lose points for non OEM glass.If it leaks when they are done,get them back out there.
good luck