HI: Seattle Airport is a flat 25.00 taxi ride to downtown Seattle. The taxis are at the airport waiting so no problem catching one. From any Seattle hotel to the Pier is about 5.00 taxi, not far at all (within walking distance if you did not have the luggage)
Seattle is a great town, if you are into baseball you could get tics to the game and walk from any hotel in town. Pike Place Market is very fun, lots of local artists, fresh veggies and fish. Also plenty of shopping around. Great restaurants as well.
If you would like more info on hotel and restaurants, let me know your budget and what you are thinking and I'll give you lots of options.
Seattle is a very friendly and safe town, I feel lucky enough to have moved here from the East Coast 10 years ago; Wouldn't live anywhere else.
Hope this helps, let me know if you want anything else......enjoy your trip