Check your lease and the laws of your area. Where I'm at, infestations are the landlord's responsibility unless that gets waived by the tenant as part of the lease. It might be different where you are. If you're in a building with multiple tenants, and you spray every room properly, it'll be real hard to get rid of them.
There are ways to test for it. If you have a bed frame, putting tape on the legs and bowls of water under the feet can catch them so you can make sure.
If you need to spray yourself, get the Ortho home defense max bedbug flea and tick killer. It's the one thing that I've find that really works, but you do have to follow the directions, including doing a second spray.
Another option, if they are legally required to fix the bedbugs, is to start putting your rent in escrow. That might be a down the road option, but it's good to have in your back pocket.
I'm not an exterminator but traps don't do much imo