I work in an opticians (only as an optical associate not an optician) so here goes nowt..
Yes, it's a really bad idea to wash your lens case out with tap water. There are still bacteria in the water that, if they come into contact with your lenses, could cause major infection and damage to your cornea. Empty it, turn it upside down and let it air dry. Replace your case every three months or sooner. Ask your optician if you need spares, the chain I work for will hand them over no problem.
Toric daily lenses? Can be done and very handy they are too. Ask about Focus Daily Torics, they're the first ones that spring to mind.
If you're unhappy in any way with your treatment from your optician then you can complain to the General Optical Council. They take stuff extremely seriously so your complaint will be followed up and opticians are known to quake when they come calling. If they work for a chain of opticians try mentioning that you are unhappy to the store first, you might be able to switch to another optician in house.
If you want to change contact lens suppliers totally then you have the right to do so. You'll need your details from your last sight test (which should be less than 12 months old) and any aftercare info. Your current optician should hand these over as they are your medical records. Optics isn't like dentistry, you don't register with one practise and stay there no matter what. If you're unhappy in anyway then you can take your prescription and hightail it.
Finally there's a lot here about how stupid we are for doing regular checks on your contacts and how nothing's gone wrong so why are we bothering. We have to do checks because it's the law, pure and simple. I get people in all the time who have eyes that are red raw because they've overworn their lenses but they refuse to take them out.
You might be fine but we can't supply lenses if your aftercares and sight tests are out of date so go with us on this one. If we didn't bother and you got an infection from your lenses who are you going to sue? People who continually miss aftecare appointments are the baine of my working life.
Oh, some opticians think they are God's gift by the way. Looks like the original poster got one. Take your prescription and walk.