A PackTite Closet would likely be more effective and cheaper than using a laundromat... especially if you have a lot of clothing... It can also be used to decon many items that cannot be placed in a dryer.
Temperature is an important variable... 40 minutes may not be sufficient for wet clothes depending on the actual temp of the dryer due to evaporation.
You can acquired a cheap infrared thermometer (Harbor Freight Tools or online) to check the actual temperature of the clothing... I have seen some clothes dryers that only reached 110 degrees in a public laundromat.
Research has shown that bed bugs and eggs can survive a hot water wash at the water temps that are available in a laundromat.
One option is to check out the price of having your loaded rental moving truck treated with Vikane gas to treat all of the contents that you are bringing to your new residence.
Another option is to screen items with a reliable K9 team.
You might want to rethink spraying the mattress and box spring after they are encased.
Treating the interior of the box springs with a properly labelled agent before the covers are applied is a better plan... if you are going to treat beds at all... Many professionals will not treat a mattress with anything but steam, heat or Vikane gas due to potential chemical safety issues.
(Disclosure: I work with scent detection K9s... I'm affiliated with companies that provide pest control services and distribute PackTite products)
