Primary vs secondary temps

I'm about 2/3 of the way through primary fermentation for an amber ale extract kit with steeping grains. I have the 7 gallon fermenter (5 gallons of wort) in a cold water bath draped with wet shirt etc., and have been keeping the temperature of the water bath between 64 and 67 degrees.

When I siphon to the better bottle for secondary fermentation, would it be okay to just let the better bottle sit at room temperature: 71-74 degrees F ? Or should I really use the water bath routine for the secondary also?

Thanks!

71-74 will be fine. The most important days are the initial stages of fermentation. You still don't want it getting too hot, but that should be ok.

Just try to keep it below 75 and you should be okay. This goes for once you bottle it too.