Hello and Welcome to Portland!
I have found that memberships to local Community Centers have been extremely convenient and cost effective!
I belong to the SW Community Center and not only have access to a pool (all 12 months of the year), basketball court, weight training equipment, cardio equipment (elliptical, treadmills, bikes, stairclimbers, etc.), but fitness classes as well (step, aerobics, kickboxing, etc.). I can pay as little as under $4 per visit, or get a 20-visit punch card for under $80, or a 3-month or 1-year membership. There are TVs in the center (above the equipment) that you can plug into.
As for having your own, individual Plasma tv, I would recommend a chain such as 24-hour, Bally's or something along those lines as they usually provide more bells and whistles.
Location: Portland, OR
"Our greatest glory is not in never falling, but in rising every time we fall." - Confucious
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