Labuschagne will join Hemphrey at Glamorgan it was confirmed overnight, while Burns will link with Lancashire next month.
Renshaw has already joined Kent for the coming season and will be in action in the early rounds of the County Championship that gets underway in the next fortnight..
It continues a busy off-season for many of the Bulls squad, with spinner Matthew Kuhnemann (Ireland) and rookie batsman Bryce Street (Netherlands) also heading for a northern summer.
Labuschagne will arrive in Wales ahead of the start of the season as cover for Shaun Marsh and will be available for the whole of the club’s Royal London One-Day Cup campaign, as well as the first part of the Specsavers County Championship season, including the opening fixture against Northamptonshire on Thursday, 11th April.
It will be his first stint as a county player after previously playing League cricket in the UK as a youngster.
“I’ve always wanted to play county cricket and test myself in different conditions and a new environment, so I’m delighted to sign for Glamorgan,” Labuschagne told the Glamorgan CC website.
“I’ve heard great things about the club from a few of the players I already know and I’m really looking forward to teaming up with my new teammates, including Charlie (Hemphrey), who I’ve played with at Queensland over the last few seasons. It would be wonderful to make a genuine difference to the club both on and off the field.
Hemphrey will return to the UK after starting his cricketing journey in England where he played second XI for Kent before coming to Australia to play club cricket.