Hi Kathleen,
I received your request today, 6-3-2024.  The best way to rid your garden of slugs and snails is to put on gloves, grab a flashlight at dusk with a bucket with some water and a tablespoon of bleach soapy water and hand pick them off the plants, tossing them in the bucket.  Or a zip lock bag works too but it must be closed each time you put one in it or they will crawl out.
The next best way is to purchase Sluggo Plus or Sluggo (two separate products) and sprinkle the pellets around your plants.  This is iron phosphate and will not hurt your pets if they eat it.  It stops the snail/slugs' digestive system and they die.  
The snails and slugs you see on top of the soil are about 5 per cent of what may be beneath the soil, hiding in the ledges or under pots, anywhere it is dark, cool and moist.  This will be an ongoing project through the summer.
Organic methods to find them:  put a heavy piece of newspaper (several pages) down near the plants, or a plank of wood.  Turn it over every morning and remove snails and slugs.  This is a particularly bad season for them.  The warmth and the water are just what they like.
Sluggo Plus will also kill cutworms, sowbugs and earwigs.  Actually anything that eats the pellets.  Predators will not eat it for the most part.
Putting copper around the plants or cracked eggshells or coffee grounds (all common myths) will not deter either snails or slugs.
You can make a shallow hole in the ground around your plants, put a pie pan with beer in it or yeast with some oil.  They are drawn to that and will drown in the beer.  However, my experience is my dogs get to it before I do so I opt for the Sluggo or nighttime picking.  They carry parasites.  You do not want pets eating them and putting gloves on when handling them is advised.
I am attaching a link from Oregon State with more information.  https://extension.oregonstate.edu/sites/default/files/documents/12281/managingslugssnails.pdf
The product Deadline is highly toxic to pets and Sluggo works well so I do not recommend Deadline.  Also, most of the universities advise that copper works.  I have watched slugs go over it in my garden without harm.  
The big banana slug is a native.  The gray slugs, and leopard slugs are not.  (Leopard because it looks like leopard skin).
Here is a link showing you the types of slugs and snails in our area:  https://www.oregon.gov/oda/shared/documents/publications/ippm/odaguidemolluscs2016forweb.pdf
If you have further questions, please contact us again.  And, welcome to Oregon.