安心してください。ベッドバグやゴキブリなどの駆除はLandlordの義務で、費用はすべてLandlord側が支払うことがBy-Lawで決められています。
念のため、以下に書いてあるように、書面でアパートのマネージャーにベッドバグが出たことを通知したほうがいいかもしれませんね。
http://www.tenants.bc.ca/factsheets/Multilingual%20pamphlet/renters’%20rights%20pamphlet%20b&w.pdf
Repairing any damage you or your guests
or pets cause, as soon as possible. This does
not include reasonable wear and tear. Also,
telling the landlord of any needed repairs
or problems, such as mice, cockroaches,
bedbugs, or mould.
When you notice a repair that needs to be done
you should first inform your landlord. Write
your landlord a letter about the problem with
a deadline for dealing with it. Keep a copy for
yourself. Collect evidence in case the landlord
does not do the repair and you have to file for
dispute resolution. You should not hold back
rent or pay for the repairs, hoping that the
landlord will reimburse you.