29er MTB tires are the same size. You don't need to replace the rims, just put different tires and tubes on.

^^^^This.

When looking at tubes, make sure you don't get a shraeder tube if you rims are drilled for presta (going the other way works if the presta valve stem is threaded and you use the nut they provide).

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Bruce Gordon has some Rock and Road tires in a 43ish mm (1.7 inch ish) that are pretty nice and Challenge has the MSO (Missoula airport code) that are pretty nice semi trail/ road worthy tires you may want to look at. Not sure what your maximum clearance is on your bike, but that is important. Schwalb has a ton of 32-45mm tires out there as well. Remember the more bulletproof the tire the rougher the ride, and the opposite is true as well.