said by MacGyver:Open a ticket with Teksavvy and ask them to have a look. Your node is probably congested which would explain lousy pings and speeds.
The OP is currently with Shaw and intends on switching to TekSavvy.
Congestion at the node level is always a possibility, and switching to TSI won't do a thing about that. If the problems are at the node level, you would likely notice worse performance during peak hours, as well as poor results on baseline diagnostics such as speed testing to a nearby server or pinging Google.
Conversely, although TSI does not operate Shaw's last mile, they, and not Shaw, will take care of transit and peering once the traffic reaches their network. Other topics here have shown that TSI is generally superior to Shaw in this respect.
So with all things being equal, the OP will likely have better gaming and torrent performance with TSI if the issue relates to Shaw's lousy peering or to traffic shaping (which Shaw is not permitted to do for TPIA csble). OTOH, switching will not help with node congestion and will only help with physical line issues insofar as Shaw's line tech is able to perform a quality install.